I'm trying to follow along with printed solutions to previous exam questions, and I'm completely stumped as to how this makes any sense.

I had to complete the square for the function $3-4x-4x^2$, and I got $-4(x+\frac{1}{2})^2+4$. But that's not the final form I need it in because I"m trying to use the solution to integrate a function... so the solution says that I need it in the form $4-(2x+1)^2$, but I cannot figure out how to transform it to that. It could very well be because I'm a bit tired right now, but could somebody point out how it's happening?