y^2-x^2=0

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

Simplifying
y2 + -1x2 = 0

Reorder the terms:
-1x2 + y2 = 0

Solving
-1x2 + y2 = 0

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
-1x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-1x2 + 0 = 0 + -1y2
-1x2 = 0 + -1y2
Remove the zero:
-1x2 = -1y2

Divide each side by '-1'.
x2 = y2

Simplifying
x2 = y2

Take the square root of each side:
x = {-1y, y}