# How do you solve 2z^2 + 20z = 0?

Jan 25, 2017

See the entire solution process below:

#### Explanation:

First, factor the left side of the equation:

$2 z \left(z + 10\right) = 0$

Next solve each term for $0$:

Solution 1)

$2 z = 0$

$\frac{2 z}{\textcolor{red}{2}} = \frac{0}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} z}{\cancel{\textcolor{red}{2}}} = 0$

$z = 0$

Solution 2)

$z + 10 = 0$

$z + 10 - \textcolor{red}{10} = 0 - \textcolor{red}{10}$

$z + 0 = - 10$

$z = - 10$

The solution is: $z = 0$ and $z = - 10$