x^4=0.0256

Solution for x^4=0.0256 equation:

Simplifying
x4 = 0.0256

Solving
x4 = 0.0256

Solving for variable 'x'.

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

Simplifying
x4 = 0.0256

Reorder the terms:
-0.0256 + x4 = 0.0256 + -0.0256

Combine like terms: 0.0256 + -0.0256 = 0.0000
-0.0256 + x4 = 0.0000

Factor a difference between two squares.
(0.16 + x2)(-0.16 + x2) = 0.0000

Factor a difference between two squares.
(0.16 + x2)((0.4 + x)(-0.4 + x)) = 0.0000

Subproblem 1
Set the factor '(0.16 + x2)' equal to zero and attempt to solve:

Simplifying
0.16 + x2 = 0

Solving
0.16 + x2 = 0

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

Add '-0.16' to each side of the equation.
0.16 + -0.16 + x2 = 0 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + x2 = 0 + -0.16
x2 = 0 + -0.16

Combine like terms: 0 + -0.16 = -0.16
x2 = -0.16

Simplifying
x2 = -0.16

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

Simplifying
0.4 + x = 0

Solving
0.4 + x = 0

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + x = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x = 0 + -0.4
x = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
x = -0.4

Simplifying
x = -0.4
Subproblem 3
Set the factor '(-0.4 + x)' equal to zero and attempt to solve:

Simplifying
-0.4 + x = 0

Solving
-0.4 + x = 0

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + x = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + x = 0 + 0.4
x = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
x = 0.4

Simplifying
x = 0.4
Solution
x = {-0.4, 0.4}