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

1 Answer
Jun 17, 2016

Answer:

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#.