Quadratic Equations - GED Math
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When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:




We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes

Set each linear binomial to 0 and solve separately:




The solution set is
.
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
Set each linear binomial to 0 and solve separately:
The solution set is .
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Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:




We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes

Set each linear binomial to 0 and solve separately:




The solution set is
.
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
Set each linear binomial to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:




We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes

Set each linear binomial to 0 and solve separately:




The solution set is
.
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
Set each linear binomial to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Tap to reveal answer
This is a quadratic equation, but it is not in standard form.

We express it in standard form as follows, using the FOIL technique:





Now factor the quadratic expression on the left. It can be factored as

where
.
By trial and error we find that
, so

can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation, but it is not in standard form.
We express it in standard form as follows, using the FOIL technique:
Now factor the quadratic expression on the left. It can be factored as
where .
By trial and error we find that , so
can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
This is a quadratic equation in standard form, so first we need to factor
.
This can be factored out as

where
.
By trial and error we find that
, so

can be expressed as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation in standard form, so first we need to factor .
This can be factored out as
where .
By trial and error we find that , so
can be expressed as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:



We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:




The solutions set is 
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:
The solutions set is
← Didn't Know|Knew It →
Tap to reveal answer
This is a quadratic equation, but it is not in standard form.

We express it in standard form as follows, using the FOIL technique:





Now factor the quadratic expression on the left. It can be factored as

where
.
By trial and error we find that
, so

can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation, but it is not in standard form.
We express it in standard form as follows, using the FOIL technique:
Now factor the quadratic expression on the left. It can be factored as
where .
By trial and error we find that , so
can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
This is a quadratic equation in standard form, so first we need to factor
.
This can be factored out as

where
.
By trial and error we find that
, so

can be expressed as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation in standard form, so first we need to factor .
This can be factored out as
where .
By trial and error we find that , so
can be expressed as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:



We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:




The solutions set is 
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:
The solutions set is
← Didn't Know|Knew It →
Tap to reveal answer
This is a quadratic equation, but it is not in standard form.

We express it in standard form as follows, using the FOIL technique:





Now factor the quadratic expression on the left. It can be factored as

where
.
By trial and error we find that
, so

can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation, but it is not in standard form.
We express it in standard form as follows, using the FOIL technique:
Now factor the quadratic expression on the left. It can be factored as
where .
By trial and error we find that , so
can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
This is a quadratic equation in standard form, so first we need to factor
.
This can be factored out as

where
.
By trial and error we find that
, so

can be expressed as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation in standard form, so first we need to factor .
This can be factored out as
where .
By trial and error we find that , so
can be expressed as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:



We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:




The solutions set is 
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:
The solutions set is
← Didn't Know|Knew It →
Tap to reveal answer
This is a quadratic equation, but it is not in standard form.

We express it in standard form as follows, using the FOIL technique:





Now factor the quadratic expression on the left. It can be factored as

where
.
By trial and error we find that
, so

can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation, but it is not in standard form.
We express it in standard form as follows, using the FOIL technique:
Now factor the quadratic expression on the left. It can be factored as
where .
By trial and error we find that , so
can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
This is a quadratic equation in standard form, so first we need to factor
.
This can be factored out as

where
.
By trial and error we find that
, so

can be expressed as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation in standard form, so first we need to factor .
This can be factored out as
where .
By trial and error we find that , so
can be expressed as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:



We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:




The solutions set is 
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:
The solutions set is
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:




We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes

Set each linear binomial to 0 and solve separately:




The solution set is
.
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
Set each linear binomial to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Tap to reveal answer
This is a quadratic equation, but it is not in standard form.

We express it in standard form as follows, using the FOIL technique:





Now factor the quadratic expression on the left. It can be factored as

where
.
By trial and error we find that
, so

can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation, but it is not in standard form.
We express it in standard form as follows, using the FOIL technique:
Now factor the quadratic expression on the left. It can be factored as
where .
By trial and error we find that , so
can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
This is a quadratic equation in standard form, so first we need to factor
.
This can be factored out as

where
.
By trial and error we find that
, so

can be expressed as
.
Set each linear binomial equal to 0 and solve separately:


The solution set is
.
This is a quadratic equation in standard form, so first we need to factor .
This can be factored out as
where .
By trial and error we find that , so
can be expressed as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:



We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:




The solutions set is 
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
.
Set each linear binomial to 0 and solve separately:
The solutions set is
← Didn't Know|Knew It →
Solve for
:

Solve for :
Tap to reveal answer
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form
. This equation is not in this form, so we must get it in this form as follows:




We factor the quadratic expression as

so that
and
.
By trial and error, we find that
, so the equation becomes

Set each linear binomial to 0 and solve separately:




The solution set is
.
When solving a quadratic equation, it is necessary to write it in standard form first - that is, in the form . This equation is not in this form, so we must get it in this form as follows:
We factor the quadratic expression as
so that and
.
By trial and error, we find that
, so the equation becomes
Set each linear binomial to 0 and solve separately:
The solution set is .
← Didn't Know|Knew It →