(6m+5n)(m^2+7mn-n^2)=0

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Solution for (6m+5n)(m^2+7mn-n^2)=0 equation: 


Simplifying
(6m + 5n)(m2 + 7mn + -1n2) = 0

Reorder the terms:
(6m + 5n)(7mn + m2 + -1n2) = 0

Multiply (6m + 5n) * (7mn + m2 + -1n2)
(6m * (7mn + m2 + -1n2) + 5n * (7mn + m2 + -1n2)) = 0
((7mn * 6m + m2 * 6m + -1n2 * 6m) + 5n * (7mn + m2 + -1n2)) = 0

Reorder the terms:
((-6mn2 + 42m2n + 6m3) + 5n * (7mn + m2 + -1n2)) = 0
((-6mn2 + 42m2n + 6m3) + 5n * (7mn + m2 + -1n2)) = 0
(-6mn2 + 42m2n + 6m3 + (7mn * 5n + m2 * 5n + -1n2 * 5n)) = 0
(-6mn2 + 42m2n + 6m3 + (35mn2 + 5m2n + -5n3)) = 0

Reorder the terms:
(-6mn2 + 35mn2 + 42m2n + 5m2n + 6m3 + -5n3) = 0

Combine like terms: -6mn2 + 35mn2 = 29mn2
(29mn2 + 42m2n + 5m2n + 6m3 + -5n3) = 0

Combine like terms: 42m2n + 5m2n = 47m2n
(29mn2 + 47m2n + 6m3 + -5n3) = 0

Solving
29mn2 + 47m2n + 6m3 + -5n3 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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