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

Tutorial

What does xy = 0 mean?
x = 0 or y = 0 or both?
x = 0 & y = 0

Could x 0 & y 0 & xy = 0? NO

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

x - 2 = 0 or x 3 = 0 or both?

IF x - 2 = 0 then x = 2

IF x 3 = 0 then x = -3

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

Let's Verify Step by Step

x = 2			x = -3
Left Side	Right Side		Left Side	Right 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 or xxx - 4 = 0
x xxx = 5xxxx orxxxxxxx = 4

Verify as above:

Left Side - Right Side

What are the solutions for: x² 3x = 2 = 0 ?

You will need to factor:x

xxxx² 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.

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