Solve the equation using the Zero-Product Property.

Question

-2x(5x - 2) = 0
(1 point)
Ox=0, 3
0 x=0,2
2
Ox=0, -
5
0 x= 0,-2

Answer 1

To solve the equation -2x(5x - 2) = 0 using the Zero-Product Property, we set each factor equal to zero and solve for x:

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

For the first equation, -2x = 0, we divide by -2 to isolate x:

x = 0

For the second equation, 5x - 2 = 0, we add 2 to both sides and divide by 5 to isolate x:

5x = 2
x = 2/5

So the solutions to the equation are x = 0 and x = 2/5.