6(3m+5)=2(cm-21)

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Solution for 6(3m+5)=2(cm-21) equation: 


Simplifying
6(3m + 5) = 2(cm + -21)

Reorder the terms:
6(5 + 3m) = 2(cm + -21)
(5 * 6 + 3m * 6) = 2(cm + -21)
(30 + 18m) = 2(cm + -21)

Reorder the terms:
30 + 18m = 2(-21 + cm)
30 + 18m = (-21 * 2 + cm * 2)
30 + 18m = (-42 + 2cm)

Solving
30 + 18m = -42 + 2cm

Solving for variable 'm'.

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

Add '-2cm' to each side of the equation.
30 + -2cm + 18m = -42 + 2cm + -2cm

Combine like terms: 2cm + -2cm = 0
30 + -2cm + 18m = -42 + 0
30 + -2cm + 18m = -42

Add '-30' to each side of the equation.
30 + -2cm + -30 + 18m = -42 + -30

Reorder the terms:
30 + -30 + -2cm + 18m = -42 + -30

Combine like terms: 30 + -30 = 0
0 + -2cm + 18m = -42 + -30
-2cm + 18m = -42 + -30

Combine like terms: -42 + -30 = -72
-2cm + 18m = -72

Reorder the terms:
72 + -2cm + 18m = -72 + 72

Combine like terms: -72 + 72 = 0
72 + -2cm + 18m = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -1cm + 9m) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(36 + -1cm + 9m)' equal to zero and attempt to solve:

Simplifying
36 + -1cm + 9m = 0

Solving
36 + -1cm + 9m = 0

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

Add '-36' to each side of the equation.
36 + -1cm + -36 + 9m = 0 + -36

Reorder the terms:
36 + -36 + -1cm + 9m = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1cm + 9m = 0 + -36
-1cm + 9m = 0 + -36

Combine like terms: 0 + -36 = -36
-1cm + 9m = -36

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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