3m(m-5)=0

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

Simplifying
3m(m + -5) = 0

Reorder the terms:
3m(-5 + m) = 0
(-5 * 3m + m * 3m) = 0
(-15m + 3m2) = 0

Solving
-15m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-5 + m) = 0

Ignore the factor 3.
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 + m)' equal to zero and attempt to solve:

Simplifying
-5 + m = 0

Solving
-5 + m = 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 + m = 0 + 5

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

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

Simplifying
m = 5
Solution
m = {0, 5}