12M=(v(3M))+(3v(M))

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Solution for 12M=(v(3M))+(3v(M)) equation: 


Simplifying
12M = (v(3M)) + (3v(M))

Remove parenthesis around (3M)
12M = (v * 3M) + (3v(M))

Reorder the terms for easier multiplication:
12M = (3v * M) + (3v(M))

Multiply v * M
12M = (3vM) + (3v(M))

Multiply v * M
12M = (3vM) + (3vM)

Combine like terms: (3vM) + (3vM) = 6vM
12M = 6vM

Solving
12M = 6vM

Solving for variable 'M'.

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

Add '-6vM' to each side of the equation.
12M + -6vM = 6vM + -6vM

Combine like terms: 6vM + -6vM = 0
12M + -6vM = 0

Factor out the Greatest Common Factor (GCF), '6M'.
6M(2 + -1v) = 0

Ignore the factor 6.

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 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Add 'v' to each side of the equation.
-1v + v = -2 + v

Combine like terms: -1v + v = 0
0 = -2 + v

Simplifying
0 = -2 + v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
M = {0}

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