Solve the following equation. Write your answer in reduced fraction form, if necessary.

To solve the equation (6x+7)(x-8) = 0, we set each factor equal to zero and solve for x:

Setting 6x+7 = 0:
6x = -7
x = -7/6

Setting x-8 = 0:
x = 8

So the solutions to the equation are x = -7/6 and x = 8.