4x^4-121=0

Solution for 4x^4-121=0 equation:

Simplifying
4x4 + -121 = 0

Reorder the terms:
-121 + 4x4 = 0

Solving
-121 + 4x4 = 0

Solving for variable 'x'.

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

Add '121' to each side of the equation.
-121 + 121 + 4x4 = 0 + 121

Combine like terms: -121 + 121 = 0
0 + 4x4 = 0 + 121
4x4 = 0 + 121

Combine like terms: 0 + 121 = 121
4x4 = 121

Divide each side by '4'.
x4 = 30.25

Simplifying
x4 = 30.25

Reorder the terms:
-30.25 + x4 = 30.25 + -30.25

Combine like terms: 30.25 + -30.25 = 0.00
-30.25 + x4 = 0.00

Factor a difference between two squares.
(5.5 + x2)(-5.5 + x2) = 0.00

Subproblem 1
Set the factor '(5.5 + x2)' equal to zero and attempt to solve:

Simplifying
5.5 + x2 = 0

Solving
5.5 + x2 = 0

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x2 = 0 + -5.5
x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
x2 = -5.5

Simplifying
x2 = -5.5

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 '(-5.5 + x2)' equal to zero and attempt to solve:

Simplifying
-5.5 + x2 = 0

Solving
-5.5 + x2 = 0

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + x2 = 0 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x2 = 0 + 5.5
x2 = 0 + 5.5

Combine like terms: 0 + 5.5 = 5.5
x2 = 5.5

Simplifying
x2 = 5.5

Take the square root of each side:
x = {-2.34520788, 2.34520788}
Solution
x = {-2.34520788, 2.34520788}