# Precalculus Examples

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

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 .

Multiply by to get .

Multiply each term in by .

Simplify .

Multiply by to get .

Multiply by to get .

Multiply by to get .

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