(5n^2+3n-8)(4n^2-6n-2)=

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Solution for (5n^2+3n-8)(4n^2-6n-2)= equation:


Simplifying
(5n2 + 3n + -8)(4n2 + -6n + -2) = 0

Reorder the terms:
(-8 + 3n + 5n2)(4n2 + -6n + -2) = 0

Reorder the terms:
(-8 + 3n + 5n2)(-2 + -6n + 4n2) = 0

Multiply (-8 + 3n + 5n2) * (-2 + -6n + 4n2)
(-8(-2 + -6n + 4n2) + 3n * (-2 + -6n + 4n2) + 5n2 * (-2 + -6n + 4n2)) = 0
((-2 * -8 + -6n * -8 + 4n2 * -8) + 3n * (-2 + -6n + 4n2) + 5n2 * (-2 + -6n + 4n2)) = 0
((16 + 48n + -32n2) + 3n * (-2 + -6n + 4n2) + 5n2 * (-2 + -6n + 4n2)) = 0
(16 + 48n + -32n2 + (-2 * 3n + -6n * 3n + 4n2 * 3n) + 5n2 * (-2 + -6n + 4n2)) = 0
(16 + 48n + -32n2 + (-6n + -18n2 + 12n3) + 5n2 * (-2 + -6n + 4n2)) = 0
(16 + 48n + -32n2 + -6n + -18n2 + 12n3 + (-2 * 5n2 + -6n * 5n2 + 4n2 * 5n2)) = 0
(16 + 48n + -32n2 + -6n + -18n2 + 12n3 + (-10n2 + -30n3 + 20n4)) = 0

Reorder the terms:
(16 + 48n + -6n + -32n2 + -18n2 + -10n2 + 12n3 + -30n3 + 20n4) = 0

Combine like terms: 48n + -6n = 42n
(16 + 42n + -32n2 + -18n2 + -10n2 + 12n3 + -30n3 + 20n4) = 0

Combine like terms: -32n2 + -18n2 = -50n2
(16 + 42n + -50n2 + -10n2 + 12n3 + -30n3 + 20n4) = 0

Combine like terms: -50n2 + -10n2 = -60n2
(16 + 42n + -60n2 + 12n3 + -30n3 + 20n4) = 0

Combine like terms: 12n3 + -30n3 = -18n3
(16 + 42n + -60n2 + -18n3 + 20n4) = 0

Solving
16 + 42n + -60n2 + -18n3 + 20n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 21n + -30n2 + -9n3 + 10n4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + 21n + -30n2 + -9n3 + 10n4)' equal to zero and attempt to solve:

Simplifying
8 + 21n + -30n2 + -9n3 + 10n4 = 0

Solving
8 + 21n + -30n2 + -9n3 + 10n4 = 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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