Question

Solve the equation using the Zero Product Property.

(2x-4) (2x-1)=0
(1 point)
0 2-1/
02.
0 -2,2
O-2,

Answer 1

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 separately.

Setting 2x-4 equal to zero:

2x-4 = 0

Adding 4 to both sides:

2x = 4

Dividing both sides by 2:

x = 2

Setting 2x-1 equal to zero:

2x-1 = 0

Adding 1 to both sides:

2x = 1

Dividing both sides by 2:

x = 1/2

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

Explanation: