-2*k+4*k^2*x^2=0

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


Simplifying
-2k + 4k2 * x2 = 0

Multiply k2 * x2
-2k + 4k2x2 = 0

Solving
-2k + 4k2x2 = 0

Solving for variable 'k'.

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

Ignore the factor 2.

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 '(-1 + 2kx2)' equal to zero and attempt to solve: Simplifying -1 + 2kx2 = 0 Solving -1 + 2kx2 = 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 + 2kx2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2kx2 = 0 + 1 2kx2 = 0 + 1 Combine like terms: 0 + 1 = 1 2kx2 = 1 Divide each side by '2x2'. k = 0.5x-2 Simplifying k = 0.5x-2

Solution

k = {0, 0.5x-2}

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