((3+2w)m)5=105m

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Solution for ((3+2w)m)5=105m equation: 


Simplifying
((3 + 2w) * m) * 5 = 105m

Reorder the terms for easier multiplication:
(m(3 + 2w)) * 5 = 105m
((3 * m + 2w * m)) * 5 = 105m
((3m + 2mw)) * 5 = 105m

Reorder the terms for easier multiplication:
5(3m + 2mw) = 105m
(3m * 5 + 2mw * 5) = 105m
(15m + 10mw) = 105m

Solving
15m + 10mw = 105m

Solving for variable 'm'.

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

Add '-105m' to each side of the equation.
15m + -105m + 10mw = 105m + -105m

Combine like terms: 15m + -105m = -90m
-90m + 10mw = 105m + -105m

Combine like terms: 105m + -105m = 0
-90m + 10mw = 0

Factor out the Greatest Common Factor (GCF), '10m'.
10m(-9 + w) = 0

Ignore the factor 10.

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 '(-9 + w)' equal to zero and attempt to solve:

Simplifying
-9 + w = 0

Solving
-9 + w = 0

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

Add '9' to each side of the equation.
-9 + 9 + w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + w = 0 + 9
w = 0 + 9

Combine like terms: 0 + 9 = 9
w = 9

Add '-1w' to each side of the equation.
w + -1w = 9 + -1w

Combine like terms: w + -1w = 0
0 = 9 + -1w

Simplifying
0 = 9 + -1w

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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