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

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

Simplifying
4p2x2 + -1k2 = 0

Reorder the terms:
-1k2 + 4p2x2 = 0

Solving
-1k2 + 4p2x2 = 0

Solving for variable 'k'.

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

Add '-4p2x2' to each side of the equation.
-1k2 + 4p2x2 + -4p2x2 = 0 + -4p2x2

Combine like terms: 4p2x2 + -4p2x2 = 0
-1k2 + 0 = 0 + -4p2x2
-1k2 = 0 + -4p2x2
Remove the zero:
-1k2 = -4p2x2

Divide each side by '-1'.
k2 = 4p2x2

Simplifying
k2 = 4p2x2

Take the square root of each side:
k = {-2px, 2px}