To solve for x, we can isolate the variable by performing the following steps:

3√x - 12 = 0

Add 12 to both sides:

3√x = 12

Divide by 3 on both sides to isolate the square root:

√x = 4

Square both sides to eliminate the square root:

(x) = 4^2
x = 16

Therefore, the solution to the equation 3√x - 12 = 0 is x = 16.