m(5m-3)=0

Solution for m(5m-3)=0 equation:

Simplifying
m(5m + -3) = 0

Reorder the terms:
m(-3 + 5m) = 0
(-3 * m + 5m * m) = 0
(-3m + 5m2) = 0

Solving
-3m + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-3 + 5m) = 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 '(-3 + 5m)' equal to zero and attempt to solve:

Simplifying
-3 + 5m = 0

Solving
-3 + 5m = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5m = 0 + 3
5m = 0 + 3

Combine like terms: 0 + 3 = 3
5m = 3

Divide each side by '5'.
m = 0.6

Simplifying
m = 0.6
Solution
m = {0, 0.6}