Problem:

I can usually solve these kinds of problems pretty easily, but I got stuck with this one and when I checked the answer it was imaginary...

I made a common denominator of -(x-2)(x+2) on the left side and then combined to form one fraction, then i cross multiplied and somehow i ended up with x^2(x-3) = -20 and don't know what to do now.

The answer is supposed to be

Thanks for the help