2m(m-1)(3m-1)=0

Solution for 2m(m-1)(3m-1)=0 equation:

Simplifying
2m(m + -1)(3m + -1) = 0

Reorder the terms:
2m(-1 + m)(3m + -1) = 0

Reorder the terms:
2m(-1 + m)(-1 + 3m) = 0

Multiply (-1 + m) * (-1 + 3m)
2m(-1(-1 + 3m) + m(-1 + 3m)) = 0
2m((-1 * -1 + 3m * -1) + m(-1 + 3m)) = 0
2m((1 + -3m) + m(-1 + 3m)) = 0
2m(1 + -3m + (-1 * m + 3m * m)) = 0
2m(1 + -3m + (-1m + 3m2)) = 0

Combine like terms: -3m + -1m = -4m
2m(1 + -4m + 3m2) = 0
(1 * 2m + -4m * 2m + 3m2 * 2m) = 0
(2m + -8m2 + 6m3) = 0

Solving
2m + -8m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(1 + -4m + 3m2) = 0

Factor a trinomial.
2m((1 + -3m)(1 + -1m)) = 0

Ignore the factor 2.
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
Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0, 0.3333333333, 1}