2n^3-6n^2-308n=0

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Solution for 2n^3-6n^2-308n=0 equation:


Simplifying
2n3 + -6n2 + -308n = 0

Reorder the terms:
-308n + -6n2 + 2n3 = 0

Solving
-308n + -6n2 + 2n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-154 + -3n + n2) = 0

Factor a trinomial.
2n((-11 + -1n)(14 + -1n)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(-11 + -1n)' equal to zero and attempt to solve: Simplifying -11 + -1n = 0 Solving -11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = 0 + 11 -1n = 0 + 11 Combine like terms: 0 + 11 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11

Subproblem 3

Set the factor '(14 + -1n)' equal to zero and attempt to solve: Simplifying 14 + -1n = 0 Solving 14 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 0 + -14 -1n = 0 + -14 Combine like terms: 0 + -14 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14

Solution

n = {0, -11, 14}

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