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

To solve the equation (7x-5)(x-2) = 0, we set each factor equal to zero:

7x-5 = 0 or x-2 = 0

Solving the first equation for x, we add 5 to both sides:

7x = 5

Then, we divide both sides by 7 to isolate x:

x = 5/7

For the second equation, we add 2 to both sides:

x = 2

The solutions to the equation (7x-5)(x-2) = 0 are x = 5/7 and x = 2.

Therefore, the solutions in reduced fraction form are:

x = 5/7 and x = 2.