# Finite Math Examples

Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.

Simplify the right side of the equation.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by to get .

Add and to get .

Cancel the common factor.

Rewrite the expression.

Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Multiply by to get .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Multiply by to get .

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Rewrite the equation as .

Multiply by to get .

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Check that all solutions found are valid and are part of the domain by substituting them into the original equation.