x^2-8x=-16?
Let's add 16 to both sides.....this gives
x^2 - 8x + 16 = 0 factoring, we have
(x -4) (x-4) = 0
So, we only need to set one factor to 0....this gives that x = 4
$$\\x^2-8x+16=0\\ (x-4)^2=0\\ x-4=0\\ x=4$$