# Finite Math Examples

Step 1

Set equal to .

Step 2

Step 2.1

Factor the left side of the equation.

Step 2.1.1

Factor out of .

Step 2.1.1.1

Factor out of .

Step 2.1.1.2

Factor out of .

Step 2.1.1.3

Factor out of .

Step 2.1.2

Rewrite as .

Step 2.1.3

Factor.

Step 2.1.3.1

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Step 2.1.3.2

Remove unnecessary parentheses.

Step 2.2

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Step 2.3

Set equal to .

Step 2.4

Set equal to and solve for .

Step 2.4.1

Set equal to .

Step 2.4.2

Subtract from both sides of the equation.

Step 2.5

Set equal to and solve for .

Step 2.5.1

Set equal to .

Step 2.5.2

Add to both sides of the equation.

Step 2.6

The final solution is all the values that make true.

Step 3