x^2-4k^2=0

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

Simplifying
x2 + -4k2 = 0

Reorder the terms:
-4k2 + x2 = 0

Solving
-4k2 + x2 = 0

Solving for variable 'k'.

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

Add '-1x2' to each side of the equation.
-4k2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-4k2 + 0 = 0 + -1x2
-4k2 = 0 + -1x2
Remove the zero:
-4k2 = -1x2

Divide each side by '-4'.
k2 = 0.25x2

Simplifying
k2 = 0.25x2

Take the square root of each side:
k = {-0.5x, 0.5x}