**I**n this tutorial, you will learn how to solve a quadratic equation by the factoring method.

__Tutorial__

What does

xy = 0mean?

x = 0ory = 0orboth?&

x = 0y = 0Could

x0& y0 & xy = 0?NOWhat does (

x-2) (x 3) = 0mean?

x - 2 = 0orx 3 = 0orboth?IF

x - 2 = 0thenx = 2IF

x 3 = 0thenx = -3

\x = 2orx = -3is the solution to(x - 2) (x 3) = 0

__Let's Verify Step by Step__

x = 2x = -3Left SideRight SideLeft SideRight Side(x - 2) (x 3) = 0 =(x - 2) (x 3) = 0 0 (5) =(-5) (0) = 0 = 0 = Right Side =0 = Right Side What are the solutions if (x-5) (x-4) = 0 ?

x - 5 = 0xxxx

orxxx - 4 = 0

x xxx = 5xxxxorxxxxxxx = 4

Verify as above:

Left Side - Right SideWhat are the solutions for: x

^{2}3x = 2 = 0 ?You will need to factor:x

xxxx

^{2}3x 2 = 2 = 0(x 2) (x 1) = 0

\x 2 = 0 xxxxxxorxxxxx x 1 = 0

xxxxxxx = -2 xxxxxxxxxxxxxxxxxx = -1

Next: Solve quadratic equations by completing the square.