y^2-3x^2=0

Solution for y^2-3x^2=0 equation:

Simplifying
y2 + -3x2 = 0

Reorder the terms:
-3x2 + y2 = 0

Solving
-3x2 + 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.
-3x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-3x2 + 0 = 0 + -1y2
-3x2 = 0 + -1y2
Remove the zero:
-3x2 = -1y2

Divide each side by '-3'.
x2 = 0.3333333333y2

Simplifying
x2 = 0.3333333333y2

Take the square root of each side:
x = {-0.577350269y, 0.577350269y}