Sm=m(11+3m)

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Solution for Sm=m(11+3m) equation: 


Simplifying
Sm = m(11 + 3m)
mS = (11 * m + 3m * m)
mS = (11m + 3m2)

Solving
mS = 11m + 3m2

Solving for variable 'm'.

Reorder the terms:
-11m + mS + -3m2 = 11m + 3m2 + -11m + -3m2

Reorder the terms:
-11m + mS + -3m2 = 11m + -11m + 3m2 + -3m2

Combine like terms: 11m + -11m = 0
-11m + mS + -3m2 = 0 + 3m2 + -3m2
-11m + mS + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-11m + mS + -3m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-11 + S + -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 '(-11 + S + -3m)' equal to zero and attempt to solve:

Simplifying
-11 + S + -3m = 0

Solving
-11 + S + -3m = 0

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

Add '11' to each side of the equation.
-11 + S + 11 + -3m = 0 + 11

Reorder the terms:
-11 + 11 + S + -3m = 0 + 11

Combine like terms: -11 + 11 = 0
0 + S + -3m = 0 + 11
S + -3m = 0 + 11

Combine like terms: 0 + 11 = 11
S + -3m = 11

Add '-1S' to each side of the equation.
S + -1S + -3m = 11 + -1S

Combine like terms: S + -1S = 0
0 + -3m = 11 + -1S
-3m = 11 + -1S

Divide each side by '-3'.
m = -3.666666667 + 0.3333333333S

Simplifying
m = -3.666666667 + 0.3333333333S
Solution
m = {0, -3.666666667 + 0.3333333333S}

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