Solving a symbolic cubic equation

Hi,

I wanted to solve this symbolic equation, with the roots being in terms of the variables. Would appreciate any help!

13824*k^3 - 2592*k^2*m*w + 72*k*m^2*w^2 - (m^3*w^3)/2

The equation is a function of 'w', but w,k,m are all symbolic variables.

Thanks!

[John D'Errico]

Is there a reason why you would not just try using solve?

help solve