solve the equation using the zero product property -2x (5x -2) =0

Answer 1

First, we need to set each factor equal to zero:

-2x = 0 and 5x - 2 = 0

Now, solve each equation separately:

-2x = 0
x = 0

5x - 2 = 0
5x = 2
x = 2/5

Therefore, the solutions to the equation -2x(5x - 2) = 0 are x = 0 and x = 2/5.