# How do you solve 6p^2-3p=0?

Jan 21, 2017

$6 {p}^{2} - 3 p = 0 \implies p = \frac{1}{2}$

#### Explanation:

$6 {p}^{2} - 3 p = 0$ Our original equation

$\iff$

$2 {p}^{2} - p = 0$ Divide both sides by 3

$\iff$

$2 {p}^{2} = p$ Add p to both sides

$\iff$

$2 p = 1$ Divide both sides by p

$\iff$

$p = \frac{1}{2}$ Divide both sides by 2