(-3m^2+9n^2-5n)[(9m^2-5m+2n)+(-9m^2)+4n^2]=

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Solution for (-3m^2+9n^2-5n)[(9m^2-5m+2n)+(-9m^2)+4n^2]= equation: 


Simplifying
(-3m2 + 9n2 + -5n)[(9m2 + -5m + 2n) + (-9m2) + 4n2] = 0

Reorder the terms:
(-3m2 + -5n + 9n2)[(9m2 + -5m + 2n) + (-9m2) + 4n2] = 0

Reorder the terms:
(-3m2 + -5n + 9n2)[(-5m + 9m2 + 2n) + (-9m2) + 4n2] = 0

Remove parenthesis around (-5m + 9m2 + 2n)
(-3m2 + -5n + 9n2)[-5m + 9m2 + 2n + (-9m2) + 4n2] = 0

Reorder the terms:
(-3m2 + -5n + 9n2)[-5m + 9m2 + (-9m2) + 2n + 4n2] = 0

Combine like terms: 9m2 + (-9m2) = 0
(-3m2 + -5n + 9n2)[-5m + 0 + 2n + 4n2] = 0
(-3m2 + -5n + 9n2)[-5m + 2n + 4n2] = 0

Multiply (-3m2 + -5n + 9n2) * [-5m + 2n + 4n2]
(-3m2 * [-5m + 2n + 4n2] + -5n * [-5m + 2n + 4n2] + 9n2 * [-5m + 2n + 4n2]) = 0
([-5m * -3m2 + 2n * -3m2 + 4n2 * -3m2] + -5n * [-5m + 2n + 4n2] + 9n2 * [-5m + 2n + 4n2]) = 0

Reorder the terms:
([-6m2n + -12m2n2 + 15m3] + -5n * [-5m + 2n + 4n2] + 9n2 * [-5m + 2n + 4n2]) = 0
([-6m2n + -12m2n2 + 15m3] + -5n * [-5m + 2n + 4n2] + 9n2 * [-5m + 2n + 4n2]) = 0
(-6m2n + -12m2n2 + 15m3 + [-5m * -5n + 2n * -5n + 4n2 * -5n] + 9n2 * [-5m + 2n + 4n2]) = 0
(-6m2n + -12m2n2 + 15m3 + [25mn + -10n2 + -20n3] + 9n2 * [-5m + 2n + 4n2]) = 0
(-6m2n + -12m2n2 + 15m3 + 25mn + -10n2 + -20n3 + [-5m * 9n2 + 2n * 9n2 + 4n2 * 9n2]) = 0
(-6m2n + -12m2n2 + 15m3 + 25mn + -10n2 + -20n3 + [-45mn2 + 18n3 + 36n4]) = 0

Reorder the terms:
(25mn + -45mn2 + -6m2n + -12m2n2 + 15m3 + -10n2 + -20n3 + 18n3 + 36n4) = 0

Combine like terms: -20n3 + 18n3 = -2n3
(25mn + -45mn2 + -6m2n + -12m2n2 + 15m3 + -10n2 + -2n3 + 36n4) = 0

Solving
25mn + -45mn2 + -6m2n + -12m2n2 + 15m3 + -10n2 + -2n3 + 36n4 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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