Math Help - I need help solving this (already have the answer, but need the calculation)

(x-2)^7 + 7x(x-2)^6 = 0

The answer is x = (1/4), but I don't know how to calculate this.

Thanks.

(x-2)^6{x-2+7x} = 0
(x-2)^6{8x-2}=0
x-2 = 0 or 8x-2 = 0
x = 2 or 8x = 2
x = 2/8 = 1/4