Question

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

Answer 1

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