(6m-5n)(4m^2-mn-n^2)=0

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Solution for (6m-5n)(4m^2-mn-n^2)=0 equation: 


Simplifying
(6m + -5n)(4m2 + -1mn + -1n2) = 0

Reorder the terms:
(6m + -5n)(-1mn + 4m2 + -1n2) = 0

Multiply (6m + -5n) * (-1mn + 4m2 + -1n2)
(6m * (-1mn + 4m2 + -1n2) + -5n * (-1mn + 4m2 + -1n2)) = 0
((-1mn * 6m + 4m2 * 6m + -1n2 * 6m) + -5n * (-1mn + 4m2 + -1n2)) = 0

Reorder the terms:
((-6mn2 + -6m2n + 24m3) + -5n * (-1mn + 4m2 + -1n2)) = 0
((-6mn2 + -6m2n + 24m3) + -5n * (-1mn + 4m2 + -1n2)) = 0
(-6mn2 + -6m2n + 24m3 + (-1mn * -5n + 4m2 * -5n + -1n2 * -5n)) = 0
(-6mn2 + -6m2n + 24m3 + (5mn2 + -20m2n + 5n3)) = 0

Reorder the terms:
(-6mn2 + 5mn2 + -6m2n + -20m2n + 24m3 + 5n3) = 0

Combine like terms: -6mn2 + 5mn2 = -1mn2
(-1mn2 + -6m2n + -20m2n + 24m3 + 5n3) = 0

Combine like terms: -6m2n + -20m2n = -26m2n
(-1mn2 + -26m2n + 24m3 + 5n3) = 0

Solving
-1mn2 + -26m2n + 24m3 + 5n3 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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