# How do you solve 12x^2=48x?

Jun 25, 2018

Shown below

#### Explanation:

Rearrange:

$12 {x}^{2} - 48 x = 0$

Factor out the $x$:

$x \left(12 x - 48\right) = 0$

Hence product of two polynomials equaling 0 means

$x = 0$

and

$12 x - 48 = 0$

$12 x = 48 \implies x = \frac{48}{12}$

$x = 0$ and $x = 4$