k^4+9k^2=0

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Solution for k^4+9k^2=0 equation: 


Simplifying
k4 + 9k2 = 0

Reorder the terms:
9k2 + k4 = 0

Solving
9k2 + k4 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k2'.
k2(9 + k2) = 0


Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
k = {0}

Subproblem 2
Set the factor '(9 + k2)' equal to zero and attempt to solve:

Simplifying
9 + k2 = 0

Solving
9 + k2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + k2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + k2 = 0 + -9
k2 = 0 + -9

Combine like terms: 0 + -9 = -9
k2 = -9

Simplifying
k2 = -9

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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