# How do you solve 18n = 2n²?

Apr 17, 2016

The solutions are:

color(blue)(n=0
color(blue)(n=9

#### Explanation:

$18 n = 2 {n}^{2}$

$2 {n}^{2} - 18 n = 0$

$\textcolor{b l u e}{\left(2 n\right)} \cdot \left(n - 9\right) = 0$

Equating each factor with zero to find the solutions:

$2 n = 0$

$n = \frac{0}{2}$

color(blue)(n=0

$n - 9 = 0$

color(blue)(n=9