(-3n+7n)-(4n^3-4n^2+12)=0

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Solution for (-3n+7n)-(4n^3-4n^2+12)=0 equation:


Simplifying
(-3n + 7n) + -1(4n3 + -4n2 + 12) = 0

Combine like terms: -3n + 7n = 4n
(4n) + -1(4n3 + -4n2 + 12) = 0
(4n) + -1(4n3 + -4n2 + 12) = 0

Reorder the terms:
(4n) + -1(12 + -4n2 + 4n3) = 0
(4n) + (12 * -1 + -4n2 * -1 + 4n3 * -1) = 0
(4n) + (-12 + 4n2 + -4n3) = 0

Reorder the terms:
-12 + (4n) + 4n2 + -4n3 = 0

Solving
-12 + (4n) + 4n2 + -4n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + n + n2 + -1n3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + n + n2 + -1n3)' equal to zero and attempt to solve: Simplifying -3 + n + n2 + -1n3 = 0 Solving -3 + n + n2 + -1n3 = 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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