#1**0 **

When we open 1 side of the equation (x-4)^3 we get :

x^3 - 12x^2 + 48x - 64 =8

Now we simply

x^3 - 12x^2 + 48x = 72

Now we move everything to 1 side to isolate then set = 0 , then factor

thus **x=6 **

breadstickim01 Jul 30, 2023

#2**-2 **

If we are only looking for real answers, we could directly take the cube root and see that \(x=6\) is a solution. However, if we also want complex solutions we would proceed as @breadstick presented, and since we know \(x-6\) is a factor we could divide and use the quadratic formula from there.

plaintainmountain Aug 1, 2023