Y^2-4(X^2)=0

Solution for Y^2-4(X^2)=0 equation:

Simplifying
Y2 + -4(X2) = 0

Reorder the terms:
-4X2 + Y2 = 0

Solving
-4X2 + 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.
-4X2 + Y2 + -1Y2 = 0 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
-4X2 + 0 = 0 + -1Y2
-4X2 = 0 + -1Y2
Remove the zero:
-4X2 = -1Y2

Divide each side by '-4'.
X2 = 0.25Y2

Simplifying
X2 = 0.25Y2

Take the square root of each side:
X = {-0.5Y, 0.5Y}