(2n^2+5n+8)(2n^2-6n-1)=

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Solution for (2n^2+5n+8)(2n^2-6n-1)= equation:


Simplifying
(2n2 + 5n + 8)(2n2 + -6n + -1) = 0

Reorder the terms:
(8 + 5n + 2n2)(2n2 + -6n + -1) = 0

Reorder the terms:
(8 + 5n + 2n2)(-1 + -6n + 2n2) = 0

Multiply (8 + 5n + 2n2) * (-1 + -6n + 2n2)
(8(-1 + -6n + 2n2) + 5n * (-1 + -6n + 2n2) + 2n2 * (-1 + -6n + 2n2)) = 0
((-1 * 8 + -6n * 8 + 2n2 * 8) + 5n * (-1 + -6n + 2n2) + 2n2 * (-1 + -6n + 2n2)) = 0
((-8 + -48n + 16n2) + 5n * (-1 + -6n + 2n2) + 2n2 * (-1 + -6n + 2n2)) = 0
(-8 + -48n + 16n2 + (-1 * 5n + -6n * 5n + 2n2 * 5n) + 2n2 * (-1 + -6n + 2n2)) = 0
(-8 + -48n + 16n2 + (-5n + -30n2 + 10n3) + 2n2 * (-1 + -6n + 2n2)) = 0
(-8 + -48n + 16n2 + -5n + -30n2 + 10n3 + (-1 * 2n2 + -6n * 2n2 + 2n2 * 2n2)) = 0
(-8 + -48n + 16n2 + -5n + -30n2 + 10n3 + (-2n2 + -12n3 + 4n4)) = 0

Reorder the terms:
(-8 + -48n + -5n + 16n2 + -30n2 + -2n2 + 10n3 + -12n3 + 4n4) = 0

Combine like terms: -48n + -5n = -53n
(-8 + -53n + 16n2 + -30n2 + -2n2 + 10n3 + -12n3 + 4n4) = 0

Combine like terms: 16n2 + -30n2 = -14n2
(-8 + -53n + -14n2 + -2n2 + 10n3 + -12n3 + 4n4) = 0

Combine like terms: -14n2 + -2n2 = -16n2
(-8 + -53n + -16n2 + 10n3 + -12n3 + 4n4) = 0

Combine like terms: 10n3 + -12n3 = -2n3
(-8 + -53n + -16n2 + -2n3 + 4n4) = 0

Solving
-8 + -53n + -16n2 + -2n3 + 4n4 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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