(x-4)(x-4)=x^2-8x+16.
The equation we have now is x^2-8x+16=100.
Subtract both sides by 100 so you can use the Zero Product Property: x^2-8x-84=0
x^2-8x-84 factored is (x-14)(x+6).
Using the Zero Product Property, we get x-14=0 and x+6=0.
x=14,-6.
Checking my work, I get 14-4 equals 10, 10 times 10 is 100.
-6-4 equals -10, -10 times -10=100.