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

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


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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'm'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(3m + -2m2 + -5n + 2n2)' equal to zero and attempt to solve: Simplifying 3m + -2m2 + -5n + 2n2 = 0 Solving 3m + -2m2 + -5n + 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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