(x^2-11)(x^2-11)-144=0

Solution for (x^2-11)(x^2-11)-144=0 equation:

Simplifying
(x2 + -11)(x2 + -11) + -144 = 0

Reorder the terms:
(-11 + x2)(x2 + -11) + -144 = 0

Reorder the terms:
(-11 + x2)(-11 + x2) + -144 = 0

Multiply (-11 + x2) * (-11 + x2)
(-11(-11 + x2) + x2(-11 + x2)) + -144 = 0
((-11 * -11 + x2 * -11) + x2(-11 + x2)) + -144 = 0
((121 + -11x2) + x2(-11 + x2)) + -144 = 0
(121 + -11x2 + (-11 * x2 + x2 * x2)) + -144 = 0
(121 + -11x2 + (-11x2 + x4)) + -144 = 0

Combine like terms: -11x2 + -11x2 = -22x2
(121 + -22x2 + x4) + -144 = 0

Reorder the terms:
121 + -144 + -22x2 + x4 = 0

Combine like terms: 121 + -144 = -23
-23 + -22x2 + x4 = 0

Solving
-23 + -22x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x2)(23 + -1x2) = 0

Subproblem 1
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve:

Simplifying
-1 + -1x2 = 0

Solving
-1 + -1x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x2 = 0 + 1
-1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x2 = 1

Divide each side by '-1'.
x2 = -1

Simplifying
x2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(23 + -1x2)' equal to zero and attempt to solve:

Simplifying
23 + -1x2 = 0

Solving
23 + -1x2 = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x2 = 0 + -23
-1x2 = 0 + -23

Combine like terms: 0 + -23 = -23
-1x2 = -23

Divide each side by '-1'.
x2 = 23

Simplifying
x2 = 23

Take the square root of each side:
x = {-4.795831523, 4.795831523}
Solution
x = {-4.795831523, 4.795831523}