To solve the equation (4x-3)(6x-12)(4.8+0.6x) = 0, we need to set each factor equal to zero and solve for x:

Setting 4x - 3 = 0:
4x = 3
x = 3/4

Setting 6x - 12 = 0:
6x = 12
x = 2

Setting 4.8 + 0.6x = 0:
0.6x = -4.8
x = -4.8 / 0.6
x = -8

Therefore, the solutions to the equation are x = 3/4, x = 2, and x = -8.