# How do you solve the equation: -42z^2=14z?

Jun 28, 2015

The solutions are:
color(blue)(z=0 , z=-1/3

#### Explanation:

$- 42 {z}^{2} = 14 z$

$14 z + 42 {z}^{2} = 0$

Here $\textcolor{g r e e n}{7 z}$ is common to both terms:
$= \left(7 z\right) \left(2 + 6 z\right) = 0$

Equating the terms with zero to obtain the solution

• 7z = 0, color(blue)(z=0
• $2 + 6 z = 0$
$6 z = - 2$
color(blue)(z=-1/3