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

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


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

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

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

Multiply (2 + 5n + 2n2) * (-4 + 2n)
(2(-4 + 2n) + 5n * (-4 + 2n) + 2n2 * (-4 + 2n)) = 0
((-4 * 2 + 2n * 2) + 5n * (-4 + 2n) + 2n2 * (-4 + 2n)) = 0
((-8 + 4n) + 5n * (-4 + 2n) + 2n2 * (-4 + 2n)) = 0
(-8 + 4n + (-4 * 5n + 2n * 5n) + 2n2 * (-4 + 2n)) = 0
(-8 + 4n + (-20n + 10n2) + 2n2 * (-4 + 2n)) = 0
(-8 + 4n + -20n + 10n2 + (-4 * 2n2 + 2n * 2n2)) = 0
(-8 + 4n + -20n + 10n2 + (-8n2 + 4n3)) = 0

Combine like terms: 4n + -20n = -16n
(-8 + -16n + 10n2 + -8n2 + 4n3) = 0

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

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

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -8n + n2 + 2n3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -8n + n2 + 2n3)' equal to zero and attempt to solve:

Simplifying
-4 + -8n + n2 + 2n3 = 0

Solving
-4 + -8n + n2 + 2n3 = 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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