# Solve (x – 7)(x + 4) = 0. find x?

## 2 answers of x

##### 1 Answer
Dec 18, 2017

$x = - 4 , 7$

#### Explanation:

the only way the product of $x - 7$ and $x + 4$ can be $0$ is if $x - 7$ is $0$, $x + 4$ is $0$, or both $x - 7$ and $x + 4$ are $0$. otherwise, the product would be some nonzero number. this rule is the zero product property.

since $x - 7$ and $x + 4$ will always be different, they can't both be $0$.
therefore, $x - 7 = 0$ or $x + 4 = 0$, so $x = 7$ or $x = - 4$.