(-2m^2+9n^2-10n)-[(9m^2-10m+7n)+(-9m^2)+4n^2]=

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Solution for (-2m^2+9n^2-10n)-[(9m^2-10m+7n)+(-9m^2)+4n^2]= equation:


Simplifying
(-2m2 + 9n2 + -10n) + -1[(9m2 + -10m + 7n) + (-9m2) + 4n2] = 0

Reorder the terms:
(-2m2 + -10n + 9n2) + -1[(9m2 + -10m + 7n) + (-9m2) + 4n2] = 0

Remove parenthesis around (-2m2 + -10n + 9n2)
-2m2 + -10n + 9n2 + -1[(9m2 + -10m + 7n) + (-9m2) + 4n2] = 0

Reorder the terms:
-2m2 + -10n + 9n2 + -1[(-10m + 9m2 + 7n) + (-9m2) + 4n2] = 0

Remove parenthesis around (-10m + 9m2 + 7n)
-2m2 + -10n + 9n2 + -1[-10m + 9m2 + 7n + (-9m2) + 4n2] = 0

Reorder the terms:
-2m2 + -10n + 9n2 + -1[-10m + 9m2 + (-9m2) + 7n + 4n2] = 0

Combine like terms: 9m2 + (-9m2) = 0
-2m2 + -10n + 9n2 + -1[-10m + 0 + 7n + 4n2] = 0
-2m2 + -10n + 9n2 + -1[-10m + 7n + 4n2] = 0
-2m2 + -10n + 9n2 + [-10m * -1 + 7n * -1 + 4n2 * -1] = 0
-2m2 + -10n + 9n2 + [10m + -7n + -4n2] = 0

Reorder the terms:
10m + -2m2 + -10n + -7n + 9n2 + -4n2 = 0

Combine like terms: -10n + -7n = -17n
10m + -2m2 + -17n + 9n2 + -4n2 = 0

Combine like terms: 9n2 + -4n2 = 5n2
10m + -2m2 + -17n + 5n2 = 0

Solving
10m + -2m2 + -17n + 5n2 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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