(8n^2-n+5)(4n^2+2n+2)=

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Solution for (8n^2-n+5)(4n^2+2n+2)= equation: 


Simplifying
(8n2 + -1n + 5)(4n2 + 2n + 2) = 0

Reorder the terms:
(5 + -1n + 8n2)(4n2 + 2n + 2) = 0

Reorder the terms:
(5 + -1n + 8n2)(2 + 2n + 4n2) = 0

Multiply (5 + -1n + 8n2) * (2 + 2n + 4n2)
(5(2 + 2n + 4n2) + -1n * (2 + 2n + 4n2) + 8n2 * (2 + 2n + 4n2)) = 0
((2 * 5 + 2n * 5 + 4n2 * 5) + -1n * (2 + 2n + 4n2) + 8n2 * (2 + 2n + 4n2)) = 0
((10 + 10n + 20n2) + -1n * (2 + 2n + 4n2) + 8n2 * (2 + 2n + 4n2)) = 0
(10 + 10n + 20n2 + (2 * -1n + 2n * -1n + 4n2 * -1n) + 8n2 * (2 + 2n + 4n2)) = 0
(10 + 10n + 20n2 + (-2n + -2n2 + -4n3) + 8n2 * (2 + 2n + 4n2)) = 0
(10 + 10n + 20n2 + -2n + -2n2 + -4n3 + (2 * 8n2 + 2n * 8n2 + 4n2 * 8n2)) = 0
(10 + 10n + 20n2 + -2n + -2n2 + -4n3 + (16n2 + 16n3 + 32n4)) = 0

Reorder the terms:
(10 + 10n + -2n + 20n2 + -2n2 + 16n2 + -4n3 + 16n3 + 32n4) = 0

Combine like terms: 10n + -2n = 8n
(10 + 8n + 20n2 + -2n2 + 16n2 + -4n3 + 16n3 + 32n4) = 0

Combine like terms: 20n2 + -2n2 = 18n2
(10 + 8n + 18n2 + 16n2 + -4n3 + 16n3 + 32n4) = 0

Combine like terms: 18n2 + 16n2 = 34n2
(10 + 8n + 34n2 + -4n3 + 16n3 + 32n4) = 0

Combine like terms: -4n3 + 16n3 = 12n3
(10 + 8n + 34n2 + 12n3 + 32n4) = 0

Solving
10 + 8n + 34n2 + 12n3 + 32n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 4n + 17n2 + 6n3 + 16n4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 4n + 17n2 + 6n3 + 16n4)' equal to zero and attempt to solve:

Simplifying
5 + 4n + 17n2 + 6n3 + 16n4 = 0

Solving
5 + 4n + 17n2 + 6n3 + 16n4 = 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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