m(3m+4)(m-3)=0

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Solution for m(3m+4)(m-3)=0 equation: 


Simplifying
m(3m + 4)(m + -3) = 0

Reorder the terms:
m(4 + 3m)(m + -3) = 0

Reorder the terms:
m(4 + 3m)(-3 + m) = 0

Multiply (4 + 3m) * (-3 + m)
m(4(-3 + m) + 3m * (-3 + m)) = 0
m((-3 * 4 + m * 4) + 3m * (-3 + m)) = 0
m((-12 + 4m) + 3m * (-3 + m)) = 0
m(-12 + 4m + (-3 * 3m + m * 3m)) = 0
m(-12 + 4m + (-9m + 3m2)) = 0

Combine like terms: 4m + -9m = -5m
m(-12 + -5m + 3m2) = 0
(-12 * m + -5m * m + 3m2 * m) = 0
(-12m + -5m2 + 3m3) = 0

Solving
-12m + -5m2 + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-12 + -5m + 3m2) = 0

Factor a trinomial.
m((-4 + -3m)(3 + -1m)) = 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 '(-4 + -3m)' equal to zero and attempt to solve:

Simplifying
-4 + -3m = 0

Solving
-4 + -3m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3m = 0 + 4
-3m = 0 + 4

Combine like terms: 0 + 4 = 4
-3m = 4

Divide each side by '-3'.
m = -1.333333333

Simplifying
m = -1.333333333

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {0, -1.333333333, 3}

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