# How do you solve the equation: 2x^2+15x=0?

Jun 26, 2015

$x = 0$ or $x = - \frac{15}{2}$

#### Explanation:

factor the left side of $2 {x}^{2} + 15 = 0$ to get
$\textcolor{w h i t e}{\text{XXXX}}$$\left(x\right) \left(2 x + 15\right) = 0$

Either
$\textcolor{w h i t e}{\text{XXXX}}$$x = 0$
or
$\textcolor{w h i t e}{\text{XXXX}}$$2 x + 15 = 0$
$\textcolor{w h i t e}{\text{XXXX}}$which would imply
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$x = - \frac{15}{2}$