0=2x^2-6y^2

Solution for 0=2x^2-6y^2 equation:

Simplifying
0 = 2x2 + -6y2

Solving
0 = 2x2 + -6y2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
0 + -2x2 = 2x2 + -2x2 + -6y2
Remove the zero:
-2x2 = 2x2 + -2x2 + -6y2

Combine like terms: 2x2 + -2x2 = 0
-2x2 = 0 + -6y2
-2x2 = -6y2

Divide each side by '-2'.
x2 = 3y2

Simplifying
x2 = 3y2

Take the square root of each side:
x = {-1.732050808y, 1.732050808y}