Find the distance between the two foci of the hyperbola.
\(-6x^2 + 5y^2 + 24x + 20y = 64\)
This site will help you.
https://www.purplemath.com/modules/hyperbola.htm
You have to start by getting it in the form
\(\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\\ (h,k) \text{ is the centre}\\ \)
ALSO .. Here is a youtube clip that looks fairly comprehensive.