# Algebra Examples

Rewrite the equation as .

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.

Add and to get .

Remove the absolute value term. This creates a on the right side of the equation because .

Set up the positive portion of the solution.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Divide by to get .

Set up the negative portion of the solution.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Divide by to get .

The solution to the equation includes both the positive and negative portions of the solution.