# How do you find the roots for x^2+16x = 0?

May 22, 2018

$x = 0$ or $x = - 16$

#### Explanation:

${x}^{2} + 16 x = 0$

first factor out the $x$:

$x \left(x + 16\right) = 0$

now using the algebra rule: $a \cdot b = 0$ then either $a = 0$ or $b = 0$

$x = 0$
or
$x + 16 = 0$

so $x = 0$ or $x = - 16$