x^2y^2+8xy+12=0

Solution for x^2y^2+8xy+12=0 equation:

Simplifying
x2y2 + 8xy + 12 = 0

Reorder the terms:
12 + 8xy + x2y2 = 0

Solving
12 + 8xy + x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + xy)(2 + xy) = 0

Subproblem 1
Set the factor '(6 + xy)' equal to zero and attempt to solve:

Simplifying
6 + xy = 0

Solving
6 + xy = 0

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

Add '-6' to each side of the equation.
6 + -6 + xy = 0 + -6

Combine like terms: 6 + -6 = 0
0 + xy = 0 + -6
xy = 0 + -6

Combine like terms: 0 + -6 = -6
xy = -6

Divide each side by 'y'.
x = -6y-1

Simplifying
x = -6y-1
Subproblem 2
Set the factor '(2 + xy)' equal to zero and attempt to solve:

Simplifying
2 + xy = 0

Solving
2 + xy = 0

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

Add '-2' to each side of the equation.
2 + -2 + xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + xy = 0 + -2
xy = 0 + -2

Combine like terms: 0 + -2 = -2
xy = -2

Divide each side by 'y'.
x = -2y-1

Simplifying
x = -2y-1
Solution
x = {-6y-1, -2y-1}