(-2n^2+8n+2)(7n^2-4n-5)=

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Solution for (-2n^2+8n+2)(7n^2-4n-5)= equation: 


Simplifying
(-2n2 + 8n + 2)(7n2 + -4n + -5) = 0

Reorder the terms:
(2 + 8n + -2n2)(7n2 + -4n + -5) = 0

Reorder the terms:
(2 + 8n + -2n2)(-5 + -4n + 7n2) = 0

Multiply (2 + 8n + -2n2) * (-5 + -4n + 7n2)
(2(-5 + -4n + 7n2) + 8n * (-5 + -4n + 7n2) + -2n2 * (-5 + -4n + 7n2)) = 0
((-5 * 2 + -4n * 2 + 7n2 * 2) + 8n * (-5 + -4n + 7n2) + -2n2 * (-5 + -4n + 7n2)) = 0
((-10 + -8n + 14n2) + 8n * (-5 + -4n + 7n2) + -2n2 * (-5 + -4n + 7n2)) = 0
(-10 + -8n + 14n2 + (-5 * 8n + -4n * 8n + 7n2 * 8n) + -2n2 * (-5 + -4n + 7n2)) = 0
(-10 + -8n + 14n2 + (-40n + -32n2 + 56n3) + -2n2 * (-5 + -4n + 7n2)) = 0
(-10 + -8n + 14n2 + -40n + -32n2 + 56n3 + (-5 * -2n2 + -4n * -2n2 + 7n2 * -2n2)) = 0
(-10 + -8n + 14n2 + -40n + -32n2 + 56n3 + (10n2 + 8n3 + -14n4)) = 0

Reorder the terms:
(-10 + -8n + -40n + 14n2 + -32n2 + 10n2 + 56n3 + 8n3 + -14n4) = 0

Combine like terms: -8n + -40n = -48n
(-10 + -48n + 14n2 + -32n2 + 10n2 + 56n3 + 8n3 + -14n4) = 0

Combine like terms: 14n2 + -32n2 = -18n2
(-10 + -48n + -18n2 + 10n2 + 56n3 + 8n3 + -14n4) = 0

Combine like terms: -18n2 + 10n2 = -8n2
(-10 + -48n + -8n2 + 56n3 + 8n3 + -14n4) = 0

Combine like terms: 56n3 + 8n3 = 64n3
(-10 + -48n + -8n2 + 64n3 + -14n4) = 0

Solving
-10 + -48n + -8n2 + 64n3 + -14n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -24n + -4n2 + 32n3 + -7n4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -24n + -4n2 + 32n3 + -7n4)' equal to zero and attempt to solve:

Simplifying
-5 + -24n + -4n2 + 32n3 + -7n4 = 0

Solving
-5 + -24n + -4n2 + 32n3 + -7n4 = 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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