# How do you factor 6x^2 = 600?

Mar 25, 2016

$6 \left(x - 10\right) \left(x + 10\right) = 0$

#### Explanation:

Begin by setting the equation equal to zero.

$6 {x}^{2} = 600$

$6 {x}^{2} - 600 = 0$
factor out 6

$6 \left({x}^{2} - 100\right) = 0$
recognize that $\left({x}^{2} - 100\right)$ is the difference of two squares
$\left(x\right) \left(x\right)$ and $\left(10\right) \left(10\right)$ with the signs being + and -

$6 \left(x - 10\right) \left(x + 10\right) = 0$