# How do you solve  6x^2 + 3x = 0?

May 5, 2016

color(blue)(x = 0, x = -1/2

#### Explanation:

$6 {x}^{2} + 3 x = 0$

$\textcolor{b l u e}{3 x}$ is common to both terms.

$\textcolor{b l u e}{3 x} \left(2 x + 1\right) = 0$

Equating both factors to zero to obtain solutions.

$3 x = 0 , x = \frac{0}{3} = 0$

$2 x + 1 = 0 , x = - \frac{1}{2}$