x^4y^4-11x^2y^2+30=0

Solution for x^4y^4-11x^2y^2+30=0 equation:

Simplifying
x4y4 + -11x2y2 + 30 = 0

Reorder the terms:
30 + -11x2y2 + x4y4 = 0

Solving
30 + -11x2y2 + x4y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x2y2)(6 + -1x2y2) = 0

Subproblem 1
Set the factor '(5 + -1x2y2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2y2 = 0

Solving
5 + -1x2y2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x2y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2y2 = 0 + -5
-1x2y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2y2 = -5

Divide each side by '-1y2'.
x2 = 5y-2

Simplifying
x2 = 5y-2

Take the square root of each side:
x = {-2.236067978y-1, 2.236067978y-1}
Subproblem 2
Set the factor '(6 + -1x2y2)' equal to zero and attempt to solve:

Simplifying
6 + -1x2y2 = 0

Solving
6 + -1x2y2 = 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 + -1x2y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2y2 = 0 + -6
-1x2y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1x2y2 = -6

Divide each side by '-1y2'.
x2 = 6y-2

Simplifying
x2 = 6y-2

Take the square root of each side:
x = {-2.449489743y-1, 2.449489743y-1}
Solution
x = {-2.236067978y-1, 2.236067978y-1, -2.449489743y-1, 2.449489743y-1}