# Algebra Examples

Find the Roots (Zeros)
To find the roots of the equation, replace with and solve.
Rewrite the equation as .
Factor using the perfect square rule.
Rewrite as .
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Set equal to and solve for .
Set the factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by .
The solution is the result of .