|x^2-2x-1|-2=0
x^2-2x-1 =2 or x^2-2x-1 =-2
x^2-2x-3 =0 or x^2-2x+1 =0
(x-3)(x+1)=0 or (x-1)^2=0
x=3 or -1 or 1