Solving for t

$\displaystyle A = 6.5 - \frac{20.4t}{t^2+36}$

I wasn't sure but I decided to try to get the fraction out by multiplying both sides by $\displaystyle t^2+36$

Which makes it:

$\displaystyle A(t^2+36) = 6.5(t^2+36) - 20.4t$

I then distributed accordingly.

$\displaystyle At^2 + A36 = 6.5t^2 + 234 - 20.4t$

I don't know if I'm doing this correctly or where to go next. Help appreciated immensely. <3