solve the following equation. write your answer in reduced fraction form, if necessary (6x)(x-6)=0

To solve the equation (6x)(x-6) = 0, we can set each factor equal to zero and solve for x.

First, set 6x = 0:
6x = 0
Divide both sides of the equation by 6:
x = 0/6
Simplifying, we get:
x = 0

Next, set x-6 = 0:
x-6 = 0
Add 6 to both sides:
x = 6

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