m(3m-1)(12m+96)=0

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Solution for m(3m-1)(12m+96)=0 equation:


Simplifying
m(3m + -1)(12m + 96) = 0

Reorder the terms:
m(-1 + 3m)(12m + 96) = 0

Reorder the terms:
m(-1 + 3m)(96 + 12m) = 0

Multiply (-1 + 3m) * (96 + 12m)
m(-1(96 + 12m) + 3m * (96 + 12m)) = 0
m((96 * -1 + 12m * -1) + 3m * (96 + 12m)) = 0
m((-96 + -12m) + 3m * (96 + 12m)) = 0
m(-96 + -12m + (96 * 3m + 12m * 3m)) = 0
m(-96 + -12m + (288m + 36m2)) = 0

Combine like terms: -12m + 288m = 276m
m(-96 + 276m + 36m2) = 0
(-96 * m + 276m * m + 36m2 * m) = 0
(-96m + 276m2 + 36m3) = 0

Solving
-96m + 276m2 + 36m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m'.
12m(-8 + 23m + 3m2) = 0

Factor a trinomial.
12m((-8 + -1m)(1 + -3m)) = 0

Ignore the factor 12.

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 '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 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 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 3
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, -8, 0.3333333333}

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