# Precalculus Examples

,

Step 1

Step 1.1

Subtract from both sides of the equation.

Step 1.2

Add to both sides of the equation.

Step 2

Step 2.1

Simplify .

Step 2.1.1

Simplify each term.

Step 2.1.1.1

Apply the distributive property.

Step 2.1.1.2

Simplify.

Step 2.1.1.2.1

Multiply by .

Step 2.1.1.2.2

Multiply by .

Step 2.1.2

Simplify by adding terms.

Step 2.1.2.1

Subtract from .

Step 2.1.2.2

Add and .

Step 2.2

Move all terms not containing to the right side of the equation.

Step 2.2.1

Subtract from both sides of the equation.

Step 2.2.2

Subtract from both sides of the equation.

Step 2.2.3

Subtract from .

Step 2.3

Divide each term in by and simplify.

Step 2.3.1

Divide each term in by .

Step 2.3.2

Simplify the left side.

Step 2.3.2.1

Cancel the common factor of .

Step 2.3.2.1.1

Cancel the common factor.

Step 2.3.2.1.2

Divide by .

Step 2.3.3

Simplify the right side.

Step 2.3.3.1

Simplify each term.

Step 2.3.3.1.1

Cancel the common factor of and .

Step 2.3.3.1.1.1

Factor out of .

Step 2.3.3.1.1.2

Cancel the common factors.

Step 2.3.3.1.1.2.1

Factor out of .

Step 2.3.3.1.1.2.2

Cancel the common factor.

Step 2.3.3.1.1.2.3

Rewrite the expression.

Step 2.3.3.1.2

Cancel the common factor of and .

Step 2.3.3.1.2.1

Factor out of .

Step 2.3.3.1.2.2

Cancel the common factors.

Step 2.3.3.1.2.2.1

Factor out of .

Step 2.3.3.1.2.2.2

Cancel the common factor.

Step 2.3.3.1.2.2.3

Rewrite the expression.

Step 3

Step 3.1

Simplify .

Step 3.1.1

Apply the distributive property.

Step 3.1.2

To write as a fraction with a common denominator, multiply by .

Step 3.1.3

Combine and .

Step 3.1.4

Combine the numerators over the common denominator.

Step 3.1.5

Simplify the numerator.

Step 3.1.5.1

Multiply by .

Step 3.1.5.2

Subtract from .

Step 3.1.6

To write as a fraction with a common denominator, multiply by .

Step 3.1.7

Simplify terms.

Step 3.1.7.1

Combine and .

Step 3.1.7.2

Combine the numerators over the common denominator.

Step 3.1.7.3

Combine the numerators over the common denominator.

Step 3.1.8

Move to the left of .

Step 3.1.9

Add and .

Step 4

Step 4.1

Reorder and .