m(2m-5)(3m-1)=0

Solution for m(2m-5)(3m-1)=0 equation:

Simplifying
m(2m + -5)(3m + -1) = 0

Reorder the terms:
m(-5 + 2m)(3m + -1) = 0

Reorder the terms:
m(-5 + 2m)(-1 + 3m) = 0

Multiply (-5 + 2m) * (-1 + 3m)
m(-5(-1 + 3m) + 2m * (-1 + 3m)) = 0
m((-1 * -5 + 3m * -5) + 2m * (-1 + 3m)) = 0
m((5 + -15m) + 2m * (-1 + 3m)) = 0
m(5 + -15m + (-1 * 2m + 3m * 2m)) = 0
m(5 + -15m + (-2m + 6m2)) = 0

Combine like terms: -15m + -2m = -17m
m(5 + -17m + 6m2) = 0
(5 * m + -17m * m + 6m2 * m) = 0
(5m + -17m2 + 6m3) = 0

Solving
5m + -17m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(5 + -17m + 6m2) = 0

Factor a trinomial.
m((1 + -3m)(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 '(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 '(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, 0.3333333333, 2.5}