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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
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
Multiply .
Step 2.1.1.2.1
Multiply by .
Step 2.1.1.2.2
Combine and .
Step 2.1.1.3
Combine and .
Step 2.1.1.4
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
Combine and .
Step 2.1.4
Combine the numerators over the common denominator.
Step 2.1.5
Combine the numerators over the common denominator.
Step 2.1.6
Multiply by .
Step 2.1.7
Subtract from .
Step 2.1.8
To write as a fraction with a common denominator, multiply by .
Step 2.1.9
Simplify terms.
Step 2.1.9.1
Combine and .
Step 2.1.9.2
Combine the numerators over the common denominator.
Step 2.1.10
Simplify the numerator.
Step 2.1.10.1
Multiply by .
Step 2.1.10.2
Add and .
Step 2.2
Multiply both sides by .
Step 2.3
Simplify.
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
Cancel the common factor.
Step 2.3.1.1.1.2
Rewrite the expression.
Step 2.3.1.1.2
Reorder and .
Step 2.3.2
Simplify the right side.
Step 2.3.2.1
Multiply by .
Step 2.4
Solve for .
Step 2.4.1
Subtract from both sides of the equation.
Step 2.4.2
Divide each term in by and simplify.
Step 2.4.2.1
Divide each term in by .
Step 2.4.2.2
Simplify the left side.
Step 2.4.2.2.1
Cancel the common factor of .
Step 2.4.2.2.1.1
Cancel the common factor.
Step 2.4.2.2.1.2
Divide by .
Step 2.4.2.3
Simplify the right side.
Step 2.4.2.3.1
Simplify each term.
Step 2.4.2.3.1.1
Dividing two negative values results in a positive value.
Step 2.4.2.3.1.2
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
Apply the distributive property.
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 3.1.4.3
Combine the numerators over the common denominator.
Step 3.1.5
Move to the left of .
Step 3.1.6
Simplify terms.
Step 3.1.6.1
Add and .
Step 3.1.6.2
Factor out of .
Step 3.1.6.2.1
Factor out of .
Step 3.1.6.2.2
Factor out of .
Step 3.1.6.2.3
Factor out of .
Step 3.1.6.3
Rewrite as .
Step 3.1.6.4
Factor out of .
Step 3.1.6.5
Factor out of .
Step 3.1.6.6
Move the negative in front of the fraction.
Step 3.1.7
Multiply the numerator by the reciprocal of the denominator.
Step 3.1.8
Cancel the common factor of .
Step 3.1.8.1
Move the leading negative in into the numerator.
Step 3.1.8.2
Factor out of .
Step 3.1.8.3
Cancel the common factor.
Step 3.1.8.4
Rewrite the expression.
Step 3.1.9
Move the negative in front of the fraction.
Step 4
Step 4.1
Reorder and .