m(3m-1)=0

Solution for m(3m-1)=0 equation:

Simplifying
m(3m + -1) = 0

Reorder the terms:
m(-1 + 3m) = 0
(-1 * m + 3m * m) = 0
(-1m + 3m2) = 0

Solving
-1m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1 + 3m) = 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 '(-1 + 3m)' equal to zero and attempt to solve:

Simplifying
-1 + 3m = 0

Solving
-1 + 3m = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3m = 0 + 1
3m = 0 + 1

Combine like terms: 0 + 1 = 1
3m = 1

Divide each side by '3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {0, 0.3333333333}