m(3m-8)(3m+1)=0

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Solution for m(3m-8)(3m+1)=0 equation: 


Simplifying
m(3m + -8)(3m + 1) = 0

Reorder the terms:
m(-8 + 3m)(3m + 1) = 0

Reorder the terms:
m(-8 + 3m)(1 + 3m) = 0

Multiply (-8 + 3m) * (1 + 3m)
m(-8(1 + 3m) + 3m * (1 + 3m)) = 0
m((1 * -8 + 3m * -8) + 3m * (1 + 3m)) = 0
m((-8 + -24m) + 3m * (1 + 3m)) = 0
m(-8 + -24m + (1 * 3m + 3m * 3m)) = 0
m(-8 + -24m + (3m + 9m2)) = 0

Combine like terms: -24m + 3m = -21m
m(-8 + -21m + 9m2) = 0
(-8 * m + -21m * m + 9m2 * m) = 0
(-8m + -21m2 + 9m3) = 0

Solving
-8m + -21m2 + 9m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-8 + -21m + 9m2) = 0

Factor a trinomial.
m((-1 + -3m)(8 + -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

Subproblem 3
Set the factor '(8 + -3m)' equal to zero and attempt to solve:

Simplifying
8 + -3m = 0

Solving
8 + -3m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = 0 + -8
-3m = 0 + -8

Combine like terms: 0 + -8 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667
Solution
m = {0, -0.3333333333, 2.666666667}

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