solve the equation using the zero product property (2x-4)(2x-1)=0

To solve the equation (2x-4)(2x-1)=0 using the zero product property, we set each factor equal to zero and solve for x:

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

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

Therefore, the solutions to the equation are x = 2 and x = 1/2.