To solve the equation 2x(x+3)x(x-6) = 0, we can use the zero product property, which states that if a product of factors equals zero, then at least one of the factors must be zero.

So, we set each factor equal to zero and solve for x:

1) 2x = 0
Dividing both sides by 2, we get:
x = 0

2) x + 3 = 0
Subtracting 3 from both sides, we get:
x = -3

3) x - 6 = 0
Adding 6 to both sides, we get:
x = 6

Therefore, the solutions to the equation 2x(x+3)x(x-6) = 0 are x = 0, x = -3, and x = 6.