(6n^2-2-2n-8)(4n^2+2n-6)=0

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Solution for (6n^2-2-2n-8)(4n^2+2n-6)=0 equation: 


Simplifying
(6n2 + -2 + -2n + -8)(4n2 + 2n + -6) = 0

Reorder the terms:
(-2 + -8 + -2n + 6n2)(4n2 + 2n + -6) = 0

Combine like terms: -2 + -8 = -10
(-10 + -2n + 6n2)(4n2 + 2n + -6) = 0

Reorder the terms:
(-10 + -2n + 6n2)(-6 + 2n + 4n2) = 0

Multiply (-10 + -2n + 6n2) * (-6 + 2n + 4n2)
(-10(-6 + 2n + 4n2) + -2n * (-6 + 2n + 4n2) + 6n2 * (-6 + 2n + 4n2)) = 0
((-6 * -10 + 2n * -10 + 4n2 * -10) + -2n * (-6 + 2n + 4n2) + 6n2 * (-6 + 2n + 4n2)) = 0
((60 + -20n + -40n2) + -2n * (-6 + 2n + 4n2) + 6n2 * (-6 + 2n + 4n2)) = 0
(60 + -20n + -40n2 + (-6 * -2n + 2n * -2n + 4n2 * -2n) + 6n2 * (-6 + 2n + 4n2)) = 0
(60 + -20n + -40n2 + (12n + -4n2 + -8n3) + 6n2 * (-6 + 2n + 4n2)) = 0
(60 + -20n + -40n2 + 12n + -4n2 + -8n3 + (-6 * 6n2 + 2n * 6n2 + 4n2 * 6n2)) = 0
(60 + -20n + -40n2 + 12n + -4n2 + -8n3 + (-36n2 + 12n3 + 24n4)) = 0

Reorder the terms:
(60 + -20n + 12n + -40n2 + -4n2 + -36n2 + -8n3 + 12n3 + 24n4) = 0

Combine like terms: -20n + 12n = -8n
(60 + -8n + -40n2 + -4n2 + -36n2 + -8n3 + 12n3 + 24n4) = 0

Combine like terms: -40n2 + -4n2 = -44n2
(60 + -8n + -44n2 + -36n2 + -8n3 + 12n3 + 24n4) = 0

Combine like terms: -44n2 + -36n2 = -80n2
(60 + -8n + -80n2 + -8n3 + 12n3 + 24n4) = 0

Combine like terms: -8n3 + 12n3 = 4n3
(60 + -8n + -80n2 + 4n3 + 24n4) = 0

Solving
60 + -8n + -80n2 + 4n3 + 24n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -2n + -20n2 + n3 + 6n4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(15 + -2n + -20n2 + n3 + 6n4)' equal to zero and attempt to solve:

Simplifying
15 + -2n + -20n2 + n3 + 6n4 = 0

Solving
15 + -2n + -20n2 + n3 + 6n4 = 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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