# Algebra 1 : How to find the solution to a binomial problem

## Example Questions

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### Example Question #1 : How To Find The Solution To A Binomial Problem

Solve for

Explanation:

First, rearrange the equation so that "like terms" are grouped together, like this: .

Second, combine "like" terms with the appropriate mathematical function (i.e., addition, subtraction, etc.), so in this problem, you'll be left with .

Third, set the entire equation equal to  and solve for

### Example Question #2 : How To Find The Solution To A Binomial Problem

Solve for .

Explanation:

First, rearrange the equation so that "like terms" are grouped together, like this: .

Second, combine "like" terms with the appropriate mathematical function (i.e., addition, subtraction, etc.), so in this problem, you'll be left with

.

Third, solve for

Solve for :

Explanation:

### Example Question #4 : How To Find The Solution To A Binomial Problem

Solve for  in terms of .

Explanation:

First, add 8y to both sides of the equation, cancelling out -8y and isolating x to a value in terms of y:

4x - 8y = 32

+8y     +8y

4x = 32 + 8y

Then divide both sides of the equation by 4, providing the x-value in terms of y:

x = 8 + 2y

### Example Question #31 : Binomials

Solve  in terms of :

Explanation:

First, isolate X by itself:

Next, divide both sides by 2/3 to get X by itself:

### Example Question #32 : Binomials

Solve for  in terms of :

Explanation:

First, isolate X onto one side of the equation:

Next, divide both sides of the equation by 4/3:

Solve for

Explanation:

Solve for

Explanation:

Solve for

Explanation:

Solve for