Y*(X^2Y^2-16)=0

Solution for Y*(X^2Y^2-16)=0 equation:

Simplifying
Y(X2Y2 + -16) = 0

Reorder the terms:
Y(-16 + X2Y2) = 0
(-16 * Y + X2Y2 * Y) = 0

Reorder the terms:
(X2Y3 + -16Y) = 0
(X2Y3 + -16Y) = 0

Solving
X2Y3 + -16Y = 0

Solving for variable 'X'.

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

Add '16Y' to each side of the equation.
X2Y3 + -16Y + 16Y = 0 + 16Y

Combine like terms: -16Y + 16Y = 0
X2Y3 + 0 = 0 + 16Y
X2Y3 = 0 + 16Y
Remove the zero:
X2Y3 = 16Y

Divide each side by 'Y3'.
X2 = 16Y-2

Simplifying
X2 = 16Y-2

Take the square root of each side:
X = {-4Y-1, 4Y-1}