(2n^2+4n+4)(4n-5)=0

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Solution for (2n^2+4n+4)(4n-5)=0 equation:


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

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

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

Multiply (4 + 4n + 2n2) * (-5 + 4n)
(4(-5 + 4n) + 4n * (-5 + 4n) + 2n2 * (-5 + 4n)) = 0
((-5 * 4 + 4n * 4) + 4n * (-5 + 4n) + 2n2 * (-5 + 4n)) = 0
((-20 + 16n) + 4n * (-5 + 4n) + 2n2 * (-5 + 4n)) = 0
(-20 + 16n + (-5 * 4n + 4n * 4n) + 2n2 * (-5 + 4n)) = 0
(-20 + 16n + (-20n + 16n2) + 2n2 * (-5 + 4n)) = 0
(-20 + 16n + -20n + 16n2 + (-5 * 2n2 + 4n * 2n2)) = 0
(-20 + 16n + -20n + 16n2 + (-10n2 + 8n3)) = 0

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

Combine like terms: 16n2 + -10n2 = 6n2
(-20 + -4n + 6n2 + 8n3) = 0

Solving
-20 + -4n + 6n2 + 8n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -2n + 3n2 + 4n3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -2n + 3n2 + 4n3)' equal to zero and attempt to solve: Simplifying -10 + -2n + 3n2 + 4n3 = 0 Solving -10 + -2n + 3n2 + 4n3 = 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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