6K^4+K^2=0

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Solution for 6K^4+K^2=0 equation:


Simplifying
6K4 + K2 = 0

Reorder the terms:
K2 + 6K4 = 0

Solving
K2 + 6K4 = 0

Solving for variable 'K'.

Factor out the Greatest Common Factor (GCF), 'K2'.
K2(1 + 6K2) = 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 '(1 + 6K2)' equal to zero and attempt to solve: Simplifying 1 + 6K2 = 0 Solving 1 + 6K2 = 0 Move all terms containing K to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6K2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6K2 = 0 + -1 6K2 = 0 + -1 Combine like terms: 0 + -1 = -1 6K2 = -1 Divide each side by '6'. K2 = -0.1666666667 Simplifying K2 = -0.1666666667 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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