Question

solve: (4x-4)^2=1

Answer 1

first expand your polynomial using FOIL:

(4x-4)(4x-4)=1

Answer 2

So there is a way to do this without getting all fancy with algebra. :)
The problem is asking "what number, when squared, equals one?

Well, +1 and -1 squared both give you one.

So when is 4x - 4 = 1
and when is 4x - 4 = - 1

Solving these should be relatively easy. :)

Hope this helps.