Use the Zero Product Property to solve the equation:

-3m(2m – 5) = 0

if -3m = 0, then the whole thing is 0

so
if m = 0, the whole thing is 0

if (2m-5) is 0, the whole thing is 0
so
if m = 5/2, the whole thing is 0

so
the solutions are m = 0 and m = 5/2

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To solve the equation -3m(2m - 5) = 0 using the Zero Product Property, we need to set each factor equal to zero and solve for the variable m.

Step 1: First, set the first factor -3m equal to zero:
-3m = 0

To solve for m, divide both sides of the equation by -3:
-3m / -3 = 0 / -3
m = 0

Step 2: Next, set the second factor (2m - 5) equal to zero:
2m - 5 = 0

To solve for m, add 5 to both sides of the equation:
2m - 5 + 5 = 0 + 5
2m = 5

Then, divide both sides of the equation by 2:
2m / 2 = 5 / 2
m = 2.5

So, the solutions to the equation -3m(2m - 5) = 0 are m = 0 and m = 2.5.