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Finite Math Examples
,
Step 1
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
Add to 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
Cancel the common factor of and .
Step 1.2.3.1.1
Factor out of .
Step 1.2.3.1.2
Cancel the common factors.
Step 1.2.3.1.2.1
Factor out of .
Step 1.2.3.1.2.2
Cancel the common factor.
Step 1.2.3.1.2.3
Rewrite the expression.
Step 1.2.3.1.2.4
Divide by .
Step 2
Step 2.1
Simplify .
Step 2.1.1
Subtract from .
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
Add and .
Step 2.1.6
To write as a fraction with a common denominator, multiply by .
Step 2.1.7
Combine and .
Step 2.1.8
Combine the numerators over the common denominator.
Step 2.1.9
Multiply by .
Step 2.1.10
Factor out of .
Step 2.1.11
Rewrite as .
Step 2.1.12
Factor out of .
Step 2.1.13
Factor out of .
Step 2.1.14
Factor out of .
Step 2.1.15
Simplify the expression.
Step 2.1.15.1
Rewrite as .
Step 2.1.15.2
Move the negative in front of the fraction.
Step 2.2
Multiply both sides of the equation by .
Step 2.3
Simplify both sides of the equation.
Step 2.3.1
Simplify the left side.
Step 2.3.1.1
Simplify .
Step 2.3.1.1.1
Cancel the common factor of .
Step 2.3.1.1.1.1
Move the leading negative in into the numerator.
Step 2.3.1.1.1.2
Factor out of .
Step 2.3.1.1.1.3
Cancel the common factor.
Step 2.3.1.1.1.4
Rewrite the expression.
Step 2.3.1.1.2
Multiply.
Step 2.3.1.1.2.1
Multiply by .
Step 2.3.1.1.2.2
Multiply by .
Step 2.3.2
Simplify the right side.
Step 2.3.2.1
Multiply by .
Step 2.4
Move all terms not containing to the right side of the equation.
Step 2.4.1
Subtract from both sides of the equation.
Step 2.4.2
Add to both sides of the equation.
Step 2.4.3
Add and .
Step 2.5
Divide each term in by and simplify.
Step 2.5.1
Divide each term in by .
Step 2.5.2
Simplify the left side.
Step 2.5.2.1
Cancel the common factor of .
Step 2.5.2.1.1
Cancel the common factor.
Step 2.5.2.1.2
Divide by .
Step 2.5.3
Simplify the right side.
Step 2.5.3.1
Simplify each term.
Step 2.5.3.1.1
Dividing two negative values results in a positive value.
Step 2.5.3.1.2
Dividing two negative values results in a positive value.
Step 3
Step 3.1
Simplify .
Step 3.1.1
Combine the numerators over the common denominator.
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
Add and .
Step 3.1.6
Simplify each term.
Step 3.1.6.1
Simplify the numerator.
Step 3.1.6.1.1
Combine the numerators over the common denominator.
Step 3.1.6.1.2
Factor out of .
Step 3.1.6.1.2.1
Factor out of .
Step 3.1.6.1.2.2
Factor out of .
Step 3.1.6.1.2.3
Factor out of .
Step 3.1.6.2
Multiply the numerator by the reciprocal of the denominator.
Step 3.1.6.3
Cancel the common factor of .
Step 3.1.6.3.1
Cancel the common factor.
Step 3.1.6.3.2
Rewrite the expression.
Step 3.1.7
To write as a fraction with a common denominator, multiply by .
Step 3.1.8
Simplify terms.
Step 3.1.8.1
Combine and .
Step 3.1.8.2
Combine the numerators over the common denominator.
Step 3.1.9
Simplify the numerator.
Step 3.1.9.1
Multiply by .
Step 3.1.9.2
Add and .