x^4+11x^2=900

Solution for x^4+11x^2=900 equation:

Simplifying
x4 + 11x2 = 900

Reorder the terms:
11x2 + x4 = 900

Solving
11x2 + x4 = 900

Solving for variable 'x'.

Reorder the terms:
-900 + 11x2 + x4 = 900 + -900

Combine like terms: 900 + -900 = 0
-900 + 11x2 + x4 = 0

Factor a trinomial.
(-36 + -1x2)(25 + -1x2) = 0

Factor a difference between two squares.
(-36 + -1x2)((5 + x)(5 + -1x)) = 0

Subproblem 1
Set the factor '(-36 + -1x2)' equal to zero and attempt to solve:

Simplifying
-36 + -1x2 = 0

Solving
-36 + -1x2 = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1x2 = 0 + 36
-1x2 = 0 + 36

Combine like terms: 0 + 36 = 36
-1x2 = 36

Divide each side by '-1'.
x2 = -36

Simplifying
x2 = -36

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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-5, 5}