The Zero Product Property simply states that if *ab* = 0, then either *a* = 0 or *b* = 0 (or both). A product of factors is zero if and only if one or more of the factors is zero.

This is particularly useful when solving quadratic equations.

**Example:
**

Suppose you want to solve the equation

*x*^{2} + *x* – 20 = 0.

You can factor the left side as:

(*x* + 5)(*x* – 4) = 0

Now, by the zero product property, either

*x* + 5 = 0 or *x* – 4 = 0,

which means either *x* = –5 or *x* = 4. These are the two solutions of the equation.