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

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


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

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

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

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

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

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

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

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

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

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

Solving
4m + -2m2 + -8n + 2n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2m + -1m2 + -4n + n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2m + -1m2 + -4n + n2)' equal to zero and attempt to solve:

Simplifying
2m + -1m2 + -4n + n2 = 0

Solving
2m + -1m2 + -4n + n2 = 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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