# Precalculus Examples

Solve in Terms of the Arbitrary Variable x
,
Step 1
Solve the equation for .
Step 1.1
Move all terms not containing to the right side of the equation.
Step 1.1.1
Subtract from both sides of the equation.
Step 1.1.2
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
Step 1.2.2.1
Cancel the common factor of .
Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
Step 1.2.3.1
Simplify each term.
Step 1.2.3.1.1
Dividing two negative values results in a positive value.
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
Step 2
Solve the equation for .
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
Combine and .
Step 2.1.1.3
Multiply .
Step 2.1.1.3.1
Combine and .
Step 2.1.1.3.2
Multiply by .
Step 2.1.1.4
Simplify each term.
Step 2.1.1.4.1
Move the negative in front of the fraction.
Step 2.1.1.4.2
Move the negative in front of the fraction.
Step 2.1.2
To write as a fraction with a common denominator, multiply by .
Step 2.1.3
Simplify terms.
Step 2.1.3.1
Combine and .
Step 2.1.3.2
Combine the numerators over the common denominator.
Step 2.1.3.3
Combine the numerators over the common denominator.
Step 2.1.4
Move to the left of .
Step 2.1.5
Subtract from .
Step 2.1.6
To write as a fraction with a common denominator, multiply by .
Step 2.1.7
Simplify terms.
Step 2.1.7.1
Combine and .
Step 2.1.7.2
Combine the numerators over the common denominator.
Step 2.1.8
Simplify the numerator.
Step 2.1.8.1
Move to the left of .
Step 2.1.8.2
Subtract from .
Step 2.2
Set the numerator equal to zero.
Step 2.3
Solve the equation for .
Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Divide each term in by and simplify.
Step 2.3.2.1
Divide each term in by .
Step 2.3.2.2
Simplify the left side.
Step 2.3.2.2.1
Cancel the common factor of .
Step 2.3.2.2.1.1
Cancel the common factor.
Step 2.3.2.2.1.2
Divide by .
Step 2.3.2.3
Simplify the right side.
Step 2.3.2.3.1
Dividing two negative values results in a positive value.
Step 3
Simplify the right side.
Step 3.1
Simplify .
Step 3.1.1
Combine the numerators over the common denominator.
Step 3.1.2
Combine and .
Step 3.1.3
To write as a fraction with a common denominator, multiply by .
Step 3.1.4
Simplify terms.
Step 3.1.4.1
Combine and .
Step 3.1.4.2
Combine the numerators over the common denominator.
Step 3.1.5
Simplify the numerator.
Step 3.1.5.1
Move to the left of .
Step 3.1.5.2