(n^2+6n-3)(2n-4)=0

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Solution for (n^2+6n-3)(2n-4)=0 equation:


Simplifying
(n2 + 6n + -3)(2n + -4) = 0

Reorder the terms:
(-3 + 6n + n2)(2n + -4) = 0

Reorder the terms:
(-3 + 6n + n2)(-4 + 2n) = 0

Multiply (-3 + 6n + n2) * (-4 + 2n)
(-3(-4 + 2n) + 6n * (-4 + 2n) + n2(-4 + 2n)) = 0
((-4 * -3 + 2n * -3) + 6n * (-4 + 2n) + n2(-4 + 2n)) = 0
((12 + -6n) + 6n * (-4 + 2n) + n2(-4 + 2n)) = 0
(12 + -6n + (-4 * 6n + 2n * 6n) + n2(-4 + 2n)) = 0
(12 + -6n + (-24n + 12n2) + n2(-4 + 2n)) = 0
(12 + -6n + -24n + 12n2 + (-4 * n2 + 2n * n2)) = 0
(12 + -6n + -24n + 12n2 + (-4n2 + 2n3)) = 0

Combine like terms: -6n + -24n = -30n
(12 + -30n + 12n2 + -4n2 + 2n3) = 0

Combine like terms: 12n2 + -4n2 = 8n2
(12 + -30n + 8n2 + 2n3) = 0

Solving
12 + -30n + 8n2 + 2n3 = 0

Solving for variable 'n'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -15n + 4n2 + n3)' equal to zero and attempt to solve: Simplifying 6 + -15n + 4n2 + n3 = 0 Solving 6 + -15n + 4n2 + n3 = 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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