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