You can
put this solution on YOUR website!
Not quite...
Remember, squaring a binomial isn't the same as squaring each term.

it's actually the same as multiplying the two terms together:
Anyway, that's not getting you any closer to the answer, the correct way to approach this problem is to take the square root of both sides.
When you take the square root, you have to remember that you'll actually have two equations, because 2x+2 could be -8 or 8 and either way when you square it you'll get 64, so we write:

(ignore the 0, it's just to get the +- symbol to work in the equation editor)
Or you could write it as two equations

and
When you subtract 2 from both sides you get:

Divide by 2:

So your answers are

and

x=3, -5
Graphically (green = (2x+2)^2 & red = 64) crosses at x=3 and x=-5: