(4n-4)(2n^2+8n-7)=0

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Solution for (4n-4)(2n^2+8n-7)=0 equation:


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

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

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

Multiply (-4 + 4n) * (-7 + 8n + 2n2)
(-4(-7 + 8n + 2n2) + 4n * (-7 + 8n + 2n2)) = 0
((-7 * -4 + 8n * -4 + 2n2 * -4) + 4n * (-7 + 8n + 2n2)) = 0
((28 + -32n + -8n2) + 4n * (-7 + 8n + 2n2)) = 0
(28 + -32n + -8n2 + (-7 * 4n + 8n * 4n + 2n2 * 4n)) = 0
(28 + -32n + -8n2 + (-28n + 32n2 + 8n3)) = 0

Reorder the terms:
(28 + -32n + -28n + -8n2 + 32n2 + 8n3) = 0

Combine like terms: -32n + -28n = -60n
(28 + -60n + -8n2 + 32n2 + 8n3) = 0

Combine like terms: -8n2 + 32n2 = 24n2
(28 + -60n + 24n2 + 8n3) = 0

Solving
28 + -60n + 24n2 + 8n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -15n + 6n2 + 2n3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(7 + -15n + 6n2 + 2n3)' equal to zero and attempt to solve: Simplifying 7 + -15n + 6n2 + 2n3 = 0 Solving 7 + -15n + 6n2 + 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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