Hi, in math class, we were assigned a challenge problem that has to do with finding the volume of a box. My function is:

f(x) = 4x^{3}- 88x^{2}+ 480x

I found that the maximum value of this function is 768 (the maximum volume), but I want to know how to solve for `x`. This is what I have:

768 = 4x^{3}- 88x^{2}+ 480x

192 = x^{3}- 22x^{2}+ 120x

How would I continue to solve for `x`?