3m(x+m+2+3x+2m)=

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Solution for 3m(x+m+2+3x+2m)= equation: 


Simplifying
3m(x + m + 2 + 3x + 2m) = 0

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

Combine like terms: m + 2m = 3m
3m(2 + 3m + x + 3x) = 0

Combine like terms: x + 3x = 4x
3m(2 + 3m + 4x) = 0
(2 * 3m + 3m * 3m + 4x * 3m) = 0

Reorder the terms:
(6m + 12mx + 9m2) = 0
(6m + 12mx + 9m2) = 0

Solving
6m + 12mx + 9m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(2 + 4x + 3m) = 0

Ignore the factor 3.

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 + 4x + 3m)' equal to zero and attempt to solve:

Simplifying
2 + 4x + 3m = 0

Reorder the terms:
2 + 3m + 4x = 0

Solving
2 + 3m + 4x = 0

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

Add '-2' to each side of the equation.
2 + 3m + -2 + 4x = 0 + -2

Reorder the terms:
2 + -2 + 3m + 4x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m + 4x = 0 + -2
3m + 4x = 0 + -2

Combine like terms: 0 + -2 = -2
3m + 4x = -2

Add '-4x' to each side of the equation.
3m + 4x + -4x = -2 + -4x

Combine like terms: 4x + -4x = 0
3m + 0 = -2 + -4x
3m = -2 + -4x

Divide each side by '3'.
m = -0.6666666667 + -1.333333333x

Simplifying
m = -0.6666666667 + -1.333333333x
Solution
m = {0, -0.6666666667 + -1.333333333x}

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