(8n-3n^4+10n^2)(3n^2+11n^4)=

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Solution for (8n-3n^4+10n^2)(3n^2+11n^4)= equation:


Simplifying
(8n + -3n4 + 10n2)(3n2 + 11n4) = 0

Reorder the terms:
(8n + 10n2 + -3n4)(3n2 + 11n4) = 0

Multiply (8n + 10n2 + -3n4) * (3n2 + 11n4)
(8n * (3n2 + 11n4) + 10n2 * (3n2 + 11n4) + -3n4 * (3n2 + 11n4)) = 0
((3n2 * 8n + 11n4 * 8n) + 10n2 * (3n2 + 11n4) + -3n4 * (3n2 + 11n4)) = 0
((24n3 + 88n5) + 10n2 * (3n2 + 11n4) + -3n4 * (3n2 + 11n4)) = 0
(24n3 + 88n5 + (3n2 * 10n2 + 11n4 * 10n2) + -3n4 * (3n2 + 11n4)) = 0
(24n3 + 88n5 + (30n4 + 110n6) + -3n4 * (3n2 + 11n4)) = 0
(24n3 + 88n5 + 30n4 + 110n6 + (3n2 * -3n4 + 11n4 * -3n4)) = 0
(24n3 + 88n5 + 30n4 + 110n6 + (-9n6 + -33n8)) = 0

Reorder the terms:
(24n3 + 30n4 + 88n5 + 110n6 + -9n6 + -33n8) = 0

Combine like terms: 110n6 + -9n6 = 101n6
(24n3 + 30n4 + 88n5 + 101n6 + -33n8) = 0

Solving
24n3 + 30n4 + 88n5 + 101n6 + -33n8 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n3'.
n3(24 + 30n + 88n2 + 101n3 + -33n5) = 0

Subproblem 1

Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(24 + 30n + 88n2 + 101n3 + -33n5)' equal to zero and attempt to solve: Simplifying 24 + 30n + 88n2 + 101n3 + -33n5 = 0 Solving 24 + 30n + 88n2 + 101n3 + -33n5 = 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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