Solve the equation using the zero product property

(2x-4)(2x-1)=0

To solve this equation using the zero product property, we need to set each factor equal to zero:

2x - 4 = 0
2x = 4
x = 2

2x - 1 = 0
2x = 1
x = 1/2

Therefore, the solutions to the equation (2x-4)(2x-1) = 0 are x = 2 and x = 1/2.