(-6m^2+8n^2-10n)-[(8m^2-10m+2n)+(-8m^2)+4n^2]=

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Solution for (-6m^2+8n^2-10n)-[(8m^2-10m+2n)+(-8m^2)+4n^2]= equation: 


Simplifying
(-6m2 + 8n2 + -10n) + -1[(8m2 + -10m + 2n) + (-8m2) + 4n2] = 0

Reorder the terms:
(-6m2 + -10n + 8n2) + -1[(8m2 + -10m + 2n) + (-8m2) + 4n2] = 0

Remove parenthesis around (-6m2 + -10n + 8n2)
-6m2 + -10n + 8n2 + -1[(8m2 + -10m + 2n) + (-8m2) + 4n2] = 0

Reorder the terms:
-6m2 + -10n + 8n2 + -1[(-10m + 8m2 + 2n) + (-8m2) + 4n2] = 0

Remove parenthesis around (-10m + 8m2 + 2n)
-6m2 + -10n + 8n2 + -1[-10m + 8m2 + 2n + (-8m2) + 4n2] = 0

Reorder the terms:
-6m2 + -10n + 8n2 + -1[-10m + 8m2 + (-8m2) + 2n + 4n2] = 0

Combine like terms: 8m2 + (-8m2) = 0
-6m2 + -10n + 8n2 + -1[-10m + 0 + 2n + 4n2] = 0
-6m2 + -10n + 8n2 + -1[-10m + 2n + 4n2] = 0
-6m2 + -10n + 8n2 + [-10m * -1 + 2n * -1 + 4n2 * -1] = 0
-6m2 + -10n + 8n2 + [10m + -2n + -4n2] = 0

Reorder the terms:
10m + -6m2 + -10n + -2n + 8n2 + -4n2 = 0

Combine like terms: -10n + -2n = -12n
10m + -6m2 + -12n + 8n2 + -4n2 = 0

Combine like terms: 8n2 + -4n2 = 4n2
10m + -6m2 + -12n + 4n2 = 0

Solving
10m + -6m2 + -12n + 4n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5m + -3m2 + -6n + 2n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5m + -3m2 + -6n + 2n2)' equal to zero and attempt to solve:

Simplifying
5m + -3m2 + -6n + 2n2 = 0

Solving
5m + -3m2 + -6n + 2n2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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