3n^3=6n

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Solution for 3n^3=6n equation:


Simplifying
3n3 = 6n

Solving
3n3 = 6n

Solving for variable 'n'.

Reorder the terms:
-6n + 3n3 = 6n + -6n

Combine like terms: 6n + -6n = 0
-6n + 3n3 = 0

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

Ignore the factor 3.

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 '(-2 + n2)' equal to zero and attempt to solve: Simplifying -2 + n2 = 0 Solving -2 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n2 = 0 + 2 n2 = 0 + 2 Combine like terms: 0 + 2 = 2 n2 = 2 Simplifying n2 = 2 Take the square root of each side: n = {-1.414213562, 1.414213562}

Solution

n = {0, -1.414213562, 1.414213562}

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