0=8Y^2-2X^2

Solution for 0=8Y^2-2X^2 equation:

Simplifying
0 = 8Y2 + -2X2

Reorder the terms:
0 = -2X2 + 8Y2

Solving
0 = -2X2 + 8Y2

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 + 8Y2
Remove the zero:
2X2 = -2X2 + 2X2 + 8Y2

Combine like terms: -2X2 + 2X2 = 0
2X2 = 0 + 8Y2
2X2 = 8Y2

Divide each side by '2'.
X2 = 4Y2

Simplifying
X2 = 4Y2

Take the square root of each side:
X = {-2Y, 2Y}