A model of​ carry-on luggage has a length that is 66 inches greater than its depth. Airline regulations require that the sum of the​ length, width, and depth cannot exceed 3232 inches. These​ conditions, with the assumption that this sum is 3232
​inches, can be modeled by the function​ V(x) that gives the​ luggage's volume, in cubic​ inches, in terms of its​ depth, x, in inches. If its volume is
432432 cubic​ inches, determine two possibilities for its depth.

V(x)=x(x+6)(26-2x)