(8n+5)(4n^2-4n-2)=0

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Solution for (8n+5)(4n^2-4n-2)=0 equation:


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

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

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

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

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

Combine like terms: -20n + -16n = -36n
(-10 + -36n + 20n2 + -32n2 + 32n3) = 0

Combine like terms: 20n2 + -32n2 = -12n2
(-10 + -36n + -12n2 + 32n3) = 0

Solving
-10 + -36n + -12n2 + 32n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -18n + -6n2 + 16n3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -18n + -6n2 + 16n3)' equal to zero and attempt to solve: Simplifying -5 + -18n + -6n2 + 16n3 = 0 Solving -5 + -18n + -6n2 + 16n3 = 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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