# How do you solve x(x + 9) = 0?

##### 3 Answers
Nov 10, 2015

$x = 0$
$x = - 9$

#### Explanation:

$x \left(x + 9\right) = 0$ is the same as $\left(x + 0\right) \left(x + 9\right) = 0$.
So, we know that $x + 0 = 0$ and that $x + 9 = 0$.
So, we solve both for $x$, and we get $x = 0$ and $x = - 9$.

Hope it Helps! :D .

Nov 10, 2015

Find out when the factors are equal to zero

#### Explanation:

So what we have here is a equation with two factors; $x$ and $\left(x + 9\right)$.

To make the expression $x \left(x + 9\right) = 0$, at least one of the factors has to be 0. This means that either:

$x = 0$

or

$x + 9 = 0 \to x = - 9$

Nov 10, 2015

$x = 0$ or $x = - 9$.

#### Explanation:

A product of real numbers is zero if and only if one of the two factors is zero. In your case, the two factors are $x$ and $x + 9$.

So, one possible case is that the product is zero because $x$ is zero.

A second case is that $x + 9 = 0$. To solve this equation, simply subtract nine by both terms:

$x \cancel{+ 9} \cancel{- 9} = 0 - 9$, and thus $x = - 9$

So, the two values $x = 0$ and $x = - 9$ annihilate one of the factors each, and so the annihilate the whole product.