Solve the equation using the Zero Product Property.
left parenthesis 2 x minus 4 right parenthesis left parenthesis 2 x minus 1 right parenthesis equals 0
(1 point)
Responses
2, negative one-half
2, Image with alt text: negative one-half
2, one-half
2, Image with alt text: one-half
negative 2, 2
Image with alt text: negative 2 , 2
negative 2, one-half
Image with alt text: negative 2 , Image with alt text: one-half
The Zero Product Property states that if the product of two numbers is equal to zero, then at least one of the numbers must be zero.
So, in this case, either 2x - 4 = 0 or 2x - 1 = 0.
For 2x - 4 = 0:
2x = 4
x = 2
For 2x - 1 = 0:
2x = 1
x = 1/2
Therefore, the solutions are x = 2 and x = 1/2.
So, the answer is:
2, one-half