# Precalculus Examples

Step 1

Add and .

Step 2

Step 2.1

Subtract from both sides of the equation.

Step 2.2

Subtract from .

Step 3

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

Step 4

Step 4.1

First, use the positive value of the to find the first solution.

Step 4.2

Divide each term in by and simplify.

Step 4.2.1

Divide each term in by .

Step 4.2.2

Simplify the left side.

Step 4.2.2.1

Cancel the common factor of .

Step 4.2.2.1.1

Cancel the common factor.

Step 4.2.2.1.2

Divide by .

Step 4.3

Next, use the negative value of the to find the second solution.

Step 4.4

Divide each term in by and simplify.

Step 4.4.1

Divide each term in by .

Step 4.4.2

Simplify the left side.

Step 4.4.2.1

Cancel the common factor of .

Step 4.4.2.1.1

Cancel the common factor.

Step 4.4.2.1.2

Divide by .

Step 4.4.3

Simplify the right side.

Step 4.4.3.1

Move the negative in front of the fraction.

Step 4.5

The complete solution is the result of both the positive and negative portions of the solution.

Step 5

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form: