A^2x^2-a^2y^2=0

Solution for A^2x^2-a^2y^2=0 equation:

Simplifying
A2x2 + -1a2y2 = 0

Reorder the terms:
-1a2y2 + x2A2 = 0

Solving
-1a2y2 + x2A2 = 0

Solving for variable 'a'.

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

Add '-1x2A2' to each side of the equation.
-1a2y2 + x2A2 + -1x2A2 = 0 + -1x2A2

Combine like terms: x2A2 + -1x2A2 = 0
-1a2y2 + 0 = 0 + -1x2A2
-1a2y2 = 0 + -1x2A2
Remove the zero:
-1a2y2 = -1x2A2

Divide each side by '-1y2'.
a2 = x2y-2A2

Simplifying
a2 = x2y-2A2

Take the square root of each side:
a = {-1xy-1A, xy-1A}