# How do you solve x(x-6)=72?

##### 1 Answer
Jun 10, 2017

$x = - 6 , 12$

#### Explanation:

The first step is to distribute $x \left(x - 6\right)$:

${x}^{2} - 6 x$

Now you have:

${x}^{2} - 6 x = 72$

Subtract 72 from both sides:

${x}^{2} - 6 x - 72 = \cancel{72} - \cancel{72}$

${x}^{2} - 6 x - 72 = 0$

Factor it:

$\left(x - 12\right) \left(x + 6\right) = 0$

Set each of them equal to zero and solve:

$x - 12 = 0$

$x + 6 = 0$

The answer is:

$x = - 6 , 12$