4k^3+8k=0

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Solution for 4k^3+8k=0 equation: 


Simplifying
4k3 + 8k = 0

Reorder the terms:
8k + 4k3 = 0

Solving
8k + 4k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4k'.
4k(2 + k2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

Move all terms containing k to the left, all other terms to the right.

Simplifying
k = 0

Subproblem 2
Set the factor '(2 + k2)' equal to zero and attempt to solve:

Simplifying
2 + k2 = 0

Solving
2 + k2 = 0

Move all terms containing k to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + k2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k2 = 0 + -2
k2 = 0 + -2

Combine like terms: 0 + -2 = -2
k2 = -2

Simplifying
k2 = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

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