# How do you solve x^2+14x=0 ?

Apr 17, 2016

The solutions are:
$x = 0$

$x = - 14$

#### Explanation:

${x}^{2} + 14 x = 0$

$x$ is common to both the terms on the L.H.S of the expression:

$\textcolor{b l u e}{x} \cdot \left(x + 14\right) = 0$

Equating the factors to zero:

$\textcolor{b l u e}{x} = 0$

$x + 14 = 0 , x = - 14$