2*(y^2)-x^2=0

Solution for 2*(y^2)-x^2=0 equation:

Simplifying
2(y2) + -1x2 = 0

Reorder the terms:
-1x2 + 2y2 = 0

Solving
-1x2 + 2y2 = 0

Solving for variable 'x'.

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

Add '-2y2' to each side of the equation.
-1x2 + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-1x2 + 0 = 0 + -2y2
-1x2 = 0 + -2y2
Remove the zero:
-1x2 = -2y2

Divide each side by '-1'.
x2 = 2y2

Simplifying
x2 = 2y2

Take the square root of each side:
x = {-1.414213562y, 1.414213562y}