3m[m-2m(4m+3m)+5n]=

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Solution for 3m[m-2m(4m+3m)+5n]= equation: 


Simplifying
3m[m + -2m(4m + 3m) + 5n] = 0

Combine like terms: 4m + 3m = 7m
3m[m + -2m(7m) + 5n] = 0

Remove parenthesis around (7m)
3m[m + -2m * 7m + 5n] = 0

Reorder the terms for easier multiplication:
3m[m + -2 * 7m * m + 5n] = 0

Multiply -2 * 7
3m[m + -14m * m + 5n] = 0

Multiply m * m
3m[m + -14m2 + 5n] = 0
[m * 3m + -14m2 * 3m + 5n * 3m] = 0

Reorder the terms:
[15mn + 3m2 + -42m3] = 0
[15mn + 3m2 + -42m3] = 0

Solving
15mn + 3m2 + -42m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(5n + m + -14m2) = 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 '(5n + m + -14m2)' equal to zero and attempt to solve:

Simplifying
5n + m + -14m2 = 0

Reorder the terms:
m + -14m2 + 5n = 0

Solving
m + -14m2 + 5n = 0

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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