Logarithms and whatnot.

I need to solve log4(x+4)-2log4(x+1) = 1/2 for x.
However, I haven't done these kind of problems for almost five years, and I can't seem to get any further than
(x+4)/((x+1)^2) = 2

Any suggestions? :3
(Yes, I know, it should be simple. But alas, I can't remember all the rules and such for isolating x here. :<)

Clear denominators by multiplying by (x+1)^2

x+4 = 2(x+1)^2

Move everything to one side and expand the square

0 = 2(x+1)^2-(x+4) = 2x^2 + 3x - 2

Factor

0 = (x+2)(2x-1)

so x = -2 or x = 1/2

Thank you, you just saved my day! <3