11x^6+121x^2-44x^4=

Solution for 11x^6+121x^2-44x^4= equation:

Simplifying
11x6 + 121x2 + -44x4 = 0

Reorder the terms:
121x2 + -44x4 + 11x6 = 0

Solving
121x2 + -44x4 + 11x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11x2'.
11x2(11 + -4x2 + x4) = 0

Ignore the factor 11.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(11 + -4x2 + x4)' equal to zero and attempt to solve:

Simplifying
11 + -4x2 + x4 = 0

Solving
11 + -4x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -4x2 + -11 + x4 = 0 + -11

Reorder the terms:
11 + -11 + -4x2 + x4 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x2 + x4 = 0 + -11
-4x2 + x4 = 0 + -11

Combine like terms: 0 + -11 = -11
-4x2 + x4 = -11

The x term is -4x2.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x2 + 4 + x4 = -11 + 4

Reorder the terms:
4 + -4x2 + x4 = -11 + 4

Combine like terms: -11 + 4 = -7
4 + -4x2 + x4 = -7

Factor a perfect square on the left side:
(x2 + -2)(x2 + -2) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}