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Finite Math Examples
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Step 1
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Simplify each term.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
Step 2
Simplify .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Multiply by .
Add and .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Move to the left of .
Multiply both sides by .
Simplify.
Simplify the left side.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
Move .
Reorder and .
Simplify the right side.
Multiply by .
Solve for .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Move the negative in front of the fraction.
Step 3
Simplify .
Simplify each term.
Combine the numerators over the common denominator.
Simplify each term.
Apply the distributive property.
Simplify.
Combine and .
Multiply .
Multiply by .
Combine and .
Multiply by .
Multiply .
Combine and .
Multiply by .
Simplify each term.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Move the negative in front of the fraction.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Combine and .
Multiply by .
Apply the distributive property.
Simplify.
Combine and .
Multiply .
Multiply by .
Combine and .
Multiply by .
Multiply .
Combine and .
Multiply by .
Simplify each term.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
Combine the numerators over the common denominator.
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Simplify terms.
Subtract from .
Add and .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Set the numerator equal to zero.
Solve the equation for .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Add to both sides of the equation.
Add to both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Move the negative in front of the fraction.
Step 4
Simplify .
Combine the numerators over the common denominator.
Simplify each term.
Apply the distributive property.
Simplify.
Combine and .
Multiply .
Multiply by .
Combine and .
Multiply by .
Multiply .
Combine and .
Multiply by .
Simplify each term.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
Rewrite as .
Move the negative in front of the fraction.
Simplify each term.
Apply the distributive property.
Simplify.
Combine and .
Multiply .
Multiply by .
Combine and .
Multiply by .
Multiply .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Combine the numerators over the common denominator.
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Simplify terms.
Combine the opposite terms in .
Subtract from .
Add and .
Add and .
Subtract from .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Subtract from .
Add and .
Since , the equation will always be true.
Always true
Always true
Step 5
Simplify .
Combine the numerators over the common denominator.
Always true
Simplify each term.
Apply the distributive property.
Always true
Simplify.
Combine and .
Always true
Multiply .
Multiply by .
Always true
Combine and .
Always true
Multiply by .
Always true
Always true
Multiply .
Combine and .
Always true
Multiply by .
Always true
Always true
Always true
Simplify each term.
Move the negative in front of the fraction.
Always true
Move the negative in front of the fraction.
Always true
Always true
Always true
To write as a fraction with a common denominator, multiply by .
Always true
Combine and .
Always true
Combine the numerators over the common denominator.
Always true
Simplify the numerator.
Multiply by .
Always true
Subtract from .
Always true
Always true
Move the negative in front of the fraction.
Always true
To write as a fraction with a common denominator, multiply by .
Always true
Combine and .
Always true
Combine the numerators over the common denominator.
Always true
Combine the numerators over the common denominator.
Always true
Multiply by .
Always true
Subtract from .
Always true
Factor out of .
Factor out of .
Always true
Factor out of .
Always true
Factor out of .
Always true
Factor out of .
Always true
Factor out of .
Always true
Always true
Factor out of .
Always true
Factor out of .
Always true
Factor out of .
Always true
Rewrite as .
Always true
Factor out of .
Always true
Simplify the expression.
Rewrite as .
Always true
Move the negative in front of the fraction.
Always true
Always true
Multiply the numerator by the reciprocal of the denominator.
Always true
Cancel the common factor of .
Move the leading negative in into the numerator.
Always true
Factor out of .
Always true
Cancel the common factor.
Always true
Rewrite the expression.
Always true
Always true
Move the negative in front of the fraction.
Always true
Always true
Always true