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

1 Answer
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+2x|=0

+(x^2+2x)=0

-(x^2+2x)=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+2x=0

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