m(2m-5)=0

Solution for m(2m-5)=0 equation:

Simplifying
m(2m + -5) = 0

Reorder the terms:
m(-5 + 2m) = 0
(-5 * m + 2m * m) = 0
(-5m + 2m2) = 0

Solving
-5m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + 2m) = 0

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m = 0
Subproblem 2
Set the factor '(-5 + 2m)' equal to zero and attempt to solve:

Simplifying
-5 + 2m = 0

Solving
-5 + 2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2m = 0 + 5
2m = 0 + 5

Combine like terms: 0 + 5 = 5
2m = 5

Divide each side by '2'.
m = 2.5

Simplifying
m = 2.5
Solution
m = {0, 2.5}