Write an absolute value equation that has the solution x=-10 and x=-5

The last step of an equation whose solutions are x=-10 and x=-5 is:

(x+10) (x+5) = 0

We need to add some previous steps, which make the equation an absolute value equation.

A way to do this, is writing | (x+10) (x+5) |=0,

the only solutions are still x=-10 and x=-5

Answer: | (x+10) (x+5) |=0