Indicial Equations

Hello, I'm having a problem with a question set by a tutor, I just cant see where to go or where I am going wrong with it.

the questions states - solve the following equation:

32^(v+4) = 8^((v^2)-1)

(v+4)log32 = ((V^2)-1)log 8 - let log32=A and log8=B
(v+4)A = ((v^2)-1)B
Av + 4A = Bv^2 - B
so Bv^2-Av-B-4A = 0

but I cant get the quadratics formula to work, can anyone point me in the right direction?

Are you aware that full solutions are discouraged

I was not aware. Why is that?

I just read a few threads about this, and I think in future I'll include hints and an explanation at the beginning of the post (in more spoiler tags)

but if I were the OP, I would definitely appreciate getting a full worked solution of the question.

Thanks for the heads up though.