(4n^2-7n-4)(2n+8)=

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Solution for (4n^2-7n-4)(2n+8)= equation:


Simplifying
(4n2 + -7n + -4)(2n + 8) = 0

Reorder the terms:
(-4 + -7n + 4n2)(2n + 8) = 0

Reorder the terms:
(-4 + -7n + 4n2)(8 + 2n) = 0

Multiply (-4 + -7n + 4n2) * (8 + 2n)
(-4(8 + 2n) + -7n * (8 + 2n) + 4n2 * (8 + 2n)) = 0
((8 * -4 + 2n * -4) + -7n * (8 + 2n) + 4n2 * (8 + 2n)) = 0
((-32 + -8n) + -7n * (8 + 2n) + 4n2 * (8 + 2n)) = 0
(-32 + -8n + (8 * -7n + 2n * -7n) + 4n2 * (8 + 2n)) = 0
(-32 + -8n + (-56n + -14n2) + 4n2 * (8 + 2n)) = 0
(-32 + -8n + -56n + -14n2 + (8 * 4n2 + 2n * 4n2)) = 0
(-32 + -8n + -56n + -14n2 + (32n2 + 8n3)) = 0

Combine like terms: -8n + -56n = -64n
(-32 + -64n + -14n2 + 32n2 + 8n3) = 0

Combine like terms: -14n2 + 32n2 = 18n2
(-32 + -64n + 18n2 + 8n3) = 0

Solving
-32 + -64n + 18n2 + 8n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -32n + 9n2 + 4n3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-16 + -32n + 9n2 + 4n3)' equal to zero and attempt to solve: Simplifying -16 + -32n + 9n2 + 4n3 = 0 Solving -16 + -32n + 9n2 + 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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