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

Jun 17, 2016

Simply removing the absolute value.

#### Explanation:

The absolute value can be solved considering two equations, one with the plus and one with the minus.

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

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

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

In this case both equations are identical because you can multiply for $- 1$ left and right the equations transforming one in the other.

Then the solution is

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

$x \left(x + 2\right) = 0$ that has two solutions, one that is $x = 0$ and the other $x = - 2$.