2kx^4-k^2x^2=0

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Solution for 2kx^4-k^2x^2=0 equation: 


Simplifying
2kx4 + -1k2x2 = 0

Solving
2kx4 + -1k2x2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'kx2'.
kx2(2x2 + -1k) = 0


Subproblem 1
Set the factor 'kx2' equal to zero and attempt to solve:

Simplifying
kx2 = 0

Solving
kx2 = 0

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

Simplifying
kx2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2x2 + -1k)' equal to zero and attempt to solve:

Simplifying
2x2 + -1k = 0

Reorder the terms:
-1k + 2x2 = 0

Solving
-1k + 2x2 = 0

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

Add '-2x2' to each side of the equation.
-1k + 2x2 + -2x2 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1k + 0 = 0 + -2x2
-1k = 0 + -2x2
Remove the zero:
-1k = -2x2

Divide each side by '-1'.
k = 2x2

Simplifying
k = 2x2
Solution
k = {2x2}

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