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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
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
Move the negative in front of the fraction.
Step 1.2.3.1.2
Move the negative in front of the fraction.
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 .
Step 2.1.1.2.1.1
Combine and .
Step 2.1.1.2.1.2
Multiply by .
Step 2.1.1.2.2
Multiply .
Step 2.1.1.2.2.1
Multiply by .
Step 2.1.1.2.2.2
Combine and .
Step 2.1.1.2.2.3
Multiply by .
Step 2.1.1.2.3
Multiply .
Step 2.1.1.2.3.1
Multiply by .
Step 2.1.1.2.3.2
Combine and .
Step 2.1.1.2.3.3
Multiply by .
Step 2.1.1.3
Simplify each term.
Step 2.1.1.3.1
Move the negative in front of the fraction.
Step 2.1.1.3.2
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
Add and .
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
Multiply by .
Step 2.1.8.2
Subtract from .
Step 2.1.9
Simplify with factoring out.
Step 2.1.9.1
Factor out of .
Step 2.1.9.2
Rewrite as .
Step 2.1.9.3
Factor out of .
Step 2.1.9.4
Factor out of .
Step 2.1.9.5
Factor out of .
Step 2.1.9.6
Simplify the expression.
Step 2.1.9.6.1
Rewrite as .
Step 2.1.9.6.2
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
Add to both sides of the equation.
Step 2.4.2
Subtract from both sides of the equation.
Step 2.4.3
Add and .
Step 3
Step 3.1
Simplify .
Step 3.1.1
Combine the numerators over the common denominator.
Step 3.1.2
Simplify each term.
Step 3.1.2.1
Apply the distributive property.
Step 3.1.2.2
Multiply by .
Step 3.1.2.3
Multiply by .
Step 3.1.3
Simplify terms.
Step 3.1.3.1
Add and .
Step 3.1.3.2
Add and .
Step 3.1.3.3
Cancel the common factor of and .
Step 3.1.3.3.1
Factor out of .
Step 3.1.3.3.2
Factor out of .
Step 3.1.3.3.3
Factor out of .
Step 3.1.3.3.4
Cancel the common factors.
Step 3.1.3.3.4.1
Factor out of .
Step 3.1.3.3.4.2
Cancel the common factor.
Step 3.1.3.3.4.3
Rewrite the expression.
Step 3.1.3.3.4.4
Divide by .
Step 4
Step 4.1
Reorder and .