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

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


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

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

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

Multiply (2 + 5n + 2n2) * (-5 + 4n)
(2(-5 + 4n) + 5n * (-5 + 4n) + 2n2 * (-5 + 4n)) = 0
((-5 * 2 + 4n * 2) + 5n * (-5 + 4n) + 2n2 * (-5 + 4n)) = 0
((-10 + 8n) + 5n * (-5 + 4n) + 2n2 * (-5 + 4n)) = 0
(-10 + 8n + (-5 * 5n + 4n * 5n) + 2n2 * (-5 + 4n)) = 0
(-10 + 8n + (-25n + 20n2) + 2n2 * (-5 + 4n)) = 0
(-10 + 8n + -25n + 20n2 + (-5 * 2n2 + 4n * 2n2)) = 0
(-10 + 8n + -25n + 20n2 + (-10n2 + 8n3)) = 0

Combine like terms: 8n + -25n = -17n
(-10 + -17n + 20n2 + -10n2 + 8n3) = 0

Combine like terms: 20n2 + -10n2 = 10n2
(-10 + -17n + 10n2 + 8n3) = 0

Solving
-10 + -17n + 10n2 + 8n3 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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