# How do you solve x^2 + 5x = 0?

Apr 21, 2018

${x}_{1} = 0$
${x}_{2} = - 5$

#### Explanation:

${x}^{2} + 5 x = 0$
$x \left(x + 5\right) = 0$

By the null factor law either $x$ or $x + 5$ must be equal to $0$.

${x}_{1} = 0$
${x}_{2} = - 5$

Apr 21, 2018

$x = - 5 \text{ or } x = 0$

#### Explanation:

$\text{take out a "color(blue)"common factor } x$

$\Rightarrow x \left(x + 5\right) = 0$

$\text{equate each of the factors to zero and solve for x}$

$\Rightarrow x = 0$

$x + 5 = 0 \Rightarrow x = - 5$