3√x+4 = x+4
Subtract 4 from both sides to get
3√x =x
Divide both sides by 3 to get
√x = x/3
Square both sides to get
x = x^2 / 9
Multiply both sides by 9 to get
9x = x^2
Rearrange to get
9x - x^2 = 0
Take x common to get
x(9 - x) = 0
So, x = 0 or 9