-6m^2(3mn+13m-5n)=

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Solution for -6m^2(3mn+13m-5n)= equation:


Simplifying
-6m2(3mn + 13m + -5n) = 0

Reorder the terms:
-6m2(13m + 3mn + -5n) = 0
(13m * -6m2 + 3mn * -6m2 + -5n * -6m2) = 0

Reorder the terms:
(30m2n + -78m3 + -18m3n) = 0
(30m2n + -78m3 + -18m3n) = 0

Solving
30m2n + -78m3 + -18m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m2'.
6m2(5n + -13m + -3mn) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(5n + -13m + -3mn)' equal to zero and attempt to solve:

Simplifying
5n + -13m + -3mn = 0

Reorder the terms:
-13m + -3mn + 5n = 0

Solving
-13m + -3mn + 5n = 0

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

Add '-5n' to each side of the equation.
-13m + -3mn + 5n + -5n = 0 + -5n

Combine like terms: 5n + -5n = 0
-13m + -3mn + 0 = 0 + -5n
-13m + -3mn = 0 + -5n
Remove the zero:
-13m + -3mn = -5n

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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