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

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


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

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

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

Multiply (-2 + 3m) * (-5 + m)
2m(-2(-5 + m) + 3m * (-5 + m)) = 0
2m((-5 * -2 + m * -2) + 3m * (-5 + m)) = 0
2m((10 + -2m) + 3m * (-5 + m)) = 0
2m(10 + -2m + (-5 * 3m + m * 3m)) = 0
2m(10 + -2m + (-15m + 3m2)) = 0

Combine like terms: -2m + -15m = -17m
2m(10 + -17m + 3m2) = 0
(10 * 2m + -17m * 2m + 3m2 * 2m) = 0
(20m + -34m2 + 6m3) = 0

Solving
20m + -34m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(10 + -17m + 3m2) = 0

Factor a trinomial.
2m((2 + -3m)(5 + -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 '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667

Subproblem 3
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {0, 0.6666666667, 5}

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