(x-2n+4)(8x-14n-24)=

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Solution for (x-2n+4)(8x-14n-24)= equation:


Simplifying
(x + -2n + 4)(8x + -14n + -24) = 0

Reorder the terms:
(4 + -2n + x)(8x + -14n + -24) = 0

Reorder the terms:
(4 + -2n + x)(-24 + -14n + 8x) = 0

Multiply (4 + -2n + x) * (-24 + -14n + 8x)
(4(-24 + -14n + 8x) + -2n * (-24 + -14n + 8x) + x(-24 + -14n + 8x)) = 0
((-24 * 4 + -14n * 4 + 8x * 4) + -2n * (-24 + -14n + 8x) + x(-24 + -14n + 8x)) = 0
((-96 + -56n + 32x) + -2n * (-24 + -14n + 8x) + x(-24 + -14n + 8x)) = 0
(-96 + -56n + 32x + (-24 * -2n + -14n * -2n + 8x * -2n) + x(-24 + -14n + 8x)) = 0

Reorder the terms:
(-96 + -56n + 32x + (48n + -16nx + 28n2) + x(-24 + -14n + 8x)) = 0
(-96 + -56n + 32x + (48n + -16nx + 28n2) + x(-24 + -14n + 8x)) = 0
(-96 + -56n + 32x + 48n + -16nx + 28n2 + (-24 * x + -14n * x + 8x * x)) = 0

Reorder the terms:
(-96 + -56n + 32x + 48n + -16nx + 28n2 + (-14nx + -24x + 8x2)) = 0
(-96 + -56n + 32x + 48n + -16nx + 28n2 + (-14nx + -24x + 8x2)) = 0

Reorder the terms:
(-96 + -56n + 48n + -16nx + -14nx + 28n2 + 32x + -24x + 8x2) = 0

Combine like terms: -56n + 48n = -8n
(-96 + -8n + -16nx + -14nx + 28n2 + 32x + -24x + 8x2) = 0

Combine like terms: -16nx + -14nx = -30nx
(-96 + -8n + -30nx + 28n2 + 32x + -24x + 8x2) = 0

Combine like terms: 32x + -24x = 8x
(-96 + -8n + -30nx + 28n2 + 8x + 8x2) = 0

Solving
-96 + -8n + -30nx + 28n2 + 8x + 8x2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + -4n + -15nx + 14n2 + 4x + 4x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-48 + -4n + -15nx + 14n2 + 4x + 4x2)' equal to zero and attempt to solve: Simplifying -48 + -4n + -15nx + 14n2 + 4x + 4x2 = 0 Solving -48 + -4n + -15nx + 14n2 + 4x + 4x2 = 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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