(6n^2+2n-8)(5n^2+4n+5)=

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Solution for (6n^2+2n-8)(5n^2+4n+5)= equation: 


Simplifying
(6n2 + 2n + -8)(5n2 + 4n + 5) = 0

Reorder the terms:
(-8 + 2n + 6n2)(5n2 + 4n + 5) = 0

Reorder the terms:
(-8 + 2n + 6n2)(5 + 4n + 5n2) = 0

Multiply (-8 + 2n + 6n2) * (5 + 4n + 5n2)
(-8(5 + 4n + 5n2) + 2n * (5 + 4n + 5n2) + 6n2 * (5 + 4n + 5n2)) = 0
((5 * -8 + 4n * -8 + 5n2 * -8) + 2n * (5 + 4n + 5n2) + 6n2 * (5 + 4n + 5n2)) = 0
((-40 + -32n + -40n2) + 2n * (5 + 4n + 5n2) + 6n2 * (5 + 4n + 5n2)) = 0
(-40 + -32n + -40n2 + (5 * 2n + 4n * 2n + 5n2 * 2n) + 6n2 * (5 + 4n + 5n2)) = 0
(-40 + -32n + -40n2 + (10n + 8n2 + 10n3) + 6n2 * (5 + 4n + 5n2)) = 0
(-40 + -32n + -40n2 + 10n + 8n2 + 10n3 + (5 * 6n2 + 4n * 6n2 + 5n2 * 6n2)) = 0
(-40 + -32n + -40n2 + 10n + 8n2 + 10n3 + (30n2 + 24n3 + 30n4)) = 0

Reorder the terms:
(-40 + -32n + 10n + -40n2 + 8n2 + 30n2 + 10n3 + 24n3 + 30n4) = 0

Combine like terms: -32n + 10n = -22n
(-40 + -22n + -40n2 + 8n2 + 30n2 + 10n3 + 24n3 + 30n4) = 0

Combine like terms: -40n2 + 8n2 = -32n2
(-40 + -22n + -32n2 + 30n2 + 10n3 + 24n3 + 30n4) = 0

Combine like terms: -32n2 + 30n2 = -2n2
(-40 + -22n + -2n2 + 10n3 + 24n3 + 30n4) = 0

Combine like terms: 10n3 + 24n3 = 34n3
(-40 + -22n + -2n2 + 34n3 + 30n4) = 0

Solving
-40 + -22n + -2n2 + 34n3 + 30n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -11n + -1n2 + 17n3 + 15n4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-20 + -11n + -1n2 + 17n3 + 15n4)' equal to zero and attempt to solve:

Simplifying
-20 + -11n + -1n2 + 17n3 + 15n4 = 0

Solving
-20 + -11n + -1n2 + 17n3 + 15n4 = 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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