X^2 - 9X = 0. Factor and use the Zero property to solve

The first step of factoring is to try to factor out a common factor.

The terms x^2 and - 9x have the factor x in common.

Factor out x from both terms.

x^2 - 9x = 0

x (x - 9) = 0

Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.

x = 0 or x - 9 = 0

x = 0 or x = 9

Answer: x = 0 or x = 9