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Finite Math Examples
, ,
Step 1
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Subtract from both sides of the equation.
Step 2
Step 2.1
Replace all occurrences of in with .
Step 2.2
Simplify the left side.
Step 2.2.1
Simplify .
Step 2.2.1.1
Simplify each term.
Step 2.2.1.1.1
Apply the distributive property.
Step 2.2.1.1.2
Simplify.
Step 2.2.1.1.2.1
Multiply by .
Step 2.2.1.1.2.2
Multiply by .
Step 2.2.1.1.2.3
Multiply by .
Step 2.2.1.2
Simplify by adding terms.
Step 2.2.1.2.1
Add and .
Step 2.2.1.2.2
Add and .
Step 2.3
Replace all occurrences of in with .
Step 2.4
Simplify the left side.
Step 2.4.1
Simplify .
Step 2.4.1.1
Simplify each term.
Step 2.4.1.1.1
Apply the distributive property.
Step 2.4.1.1.2
Simplify.
Step 2.4.1.1.2.1
Multiply by .
Step 2.4.1.1.2.2
Multiply by .
Step 2.4.1.1.2.3
Multiply by .
Step 2.4.1.2
Simplify by adding terms.
Step 2.4.1.2.1
Subtract from .
Step 2.4.1.2.2
Subtract from .
Step 3
Step 3.1
Move all terms not containing to the right side of the equation.
Step 3.1.1
Add to both sides of the equation.
Step 3.1.2
Subtract from both sides of the equation.
Step 3.1.3
Subtract from .
Step 3.2
Divide each term in by and simplify.
Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
Step 3.2.2.1
Cancel the common factor of .
Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
Step 3.2.3.1
Simplify each term.
Step 3.2.3.1.1
Move the negative in front of the fraction.
Step 3.2.3.1.2
Dividing two negative values results in a positive value.
Step 4
Step 4.1
Replace all occurrences of in with .
Step 4.2
Simplify the left side.
Step 4.2.1
Simplify .
Step 4.2.1.1
Simplify each term.
Step 4.2.1.1.1
Apply the distributive property.
Step 4.2.1.1.2
Cancel the common factor of .
Step 4.2.1.1.2.1
Move the leading negative in into the numerator.
Step 4.2.1.1.2.2
Cancel the common factor.
Step 4.2.1.1.2.3
Rewrite the expression.
Step 4.2.1.1.3
Cancel the common factor of .
Step 4.2.1.1.3.1
Cancel the common factor.
Step 4.2.1.1.3.2
Rewrite the expression.
Step 4.2.1.2
Combine the opposite terms in .
Step 4.2.1.2.1
Add and .
Step 4.2.1.2.2
Add and .
Step 4.2.1.2.3
Subtract from .
Step 4.3
Replace all occurrences of in with .
Step 4.4
Simplify the right side.
Step 4.4.1
Simplify .
Step 4.4.1.1
Simplify each term.
Step 4.4.1.1.1
Apply the distributive property.
Step 4.4.1.1.2
Multiply .
Step 4.4.1.1.2.1
Multiply by .
Step 4.4.1.1.2.2
Combine and .
Step 4.4.1.1.2.3
Multiply by .
Step 4.4.1.1.3
Multiply .
Step 4.4.1.1.3.1
Combine and .
Step 4.4.1.1.3.2
Multiply by .
Step 4.4.1.1.4
Move the negative in front of the fraction.
Step 4.4.1.2
Simplify the expression.
Step 4.4.1.2.1
Write as a fraction with a common denominator.
Step 4.4.1.2.2
Combine the numerators over the common denominator.
Step 4.4.1.2.3
Subtract from .
Step 4.4.1.3
To write as a fraction with a common denominator, multiply by .
Step 4.4.1.4
Combine and .
Step 4.4.1.5
Combine the numerators over the common denominator.
Step 4.4.1.6
Combine the numerators over the common denominator.
Step 4.4.1.7
Multiply by .
Step 4.4.1.8
Subtract from .
Step 5
Remove any equations from the system that are always true.