n^3=2n

Solution for n^3=2n equation:

Simplifying
n3 = 2n

Solving
n3 = 2n

Solving for variable 'n'.

Reorder the terms:
-2n + n3 = 2n + -2n

Combine like terms: 2n + -2n = 0
-2n + n3 = 0

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

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}