# Basic Algebra/Solving Quadratic Equations/The Zero Product Property

From Wikibooks, open books for an open world

## Vocabulary[edit]

## Lesson[edit]

The zero property is based on the elementary concept that when you multiply two numbers and the answer is zero, then one of the numbers multiplied must be zero.

Rule: if *a* × *b* = 0, then *a* = 0 or *b* = 0.

Meaning that the zero property establishes that *a* or *b* has to equal zero in order for the result to be zero, *a* or *b* could be any random number while the other variable is zero so that result would still be zero.

## Example Problems[edit]

(x+5)(x-3)=0

x+5=0 x-3=0

-5 -5 +3 +3

x=-5 x=3

## Practice Games[edit]

## Practice Problems[edit]

Easy

Medium

Hard