# How do you solve  8x^2 = 24x?

Jun 11, 2018

$x = 0$ or $x = 3$

#### Explanation:

Bring everything to left hand side:

$8 {x}^{2} - 24 x = 0$

Factor $8 x$:

$8 x \left(x - 3\right) = 0$

A multiplication equals zero if and only if at least one of the factors equals zero: so it must be either

$8 x = 0 \setminus \iff x = 0$

or

$x - 3 = 0 \setminus \iff x = 3$