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

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


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

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

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

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

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

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

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

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

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

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

Solving
4m + -2m2 + -6n + 4n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2m + -1m2 + -3n + 2n2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2m + -1m2 + -3n + 2n2)' equal to zero and attempt to solve: Simplifying 2m + -1m2 + -3n + 2n2 = 0 Solving 2m + -1m2 + -3n + 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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