x^4=.0001

Solution for x^4=.0001 equation:

Simplifying
x4 = 0.0001

Solving
x4 = 0.0001

Solving for variable 'x'.

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

Simplifying
x4 = 0.0001

Reorder the terms:
-0.0001 + x4 = 0.0001 + -0.0001

Combine like terms: 0.0001 + -0.0001 = 0.0000
-0.0001 + x4 = 0.0000

Factor a difference between two squares.
(0.01 + x2)(-0.01 + x2) = 0.0000

Factor a difference between two squares.
(0.01 + x2)((0.1 + x)(-0.1 + x)) = 0.0000

Subproblem 1
Set the factor '(0.01 + x2)' equal to zero and attempt to solve:

Simplifying
0.01 + x2 = 0

Solving
0.01 + x2 = 0

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

Add '-0.01' to each side of the equation.
0.01 + -0.01 + x2 = 0 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
0.00 + x2 = 0 + -0.01
x2 = 0 + -0.01

Combine like terms: 0 + -0.01 = -0.01
x2 = -0.01

Simplifying
x2 = -0.01

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

Simplifying
0.1 + x = 0

Solving
0.1 + x = 0

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + x = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + x = 0 + -0.1
x = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
x = -0.1

Simplifying
x = -0.1
Subproblem 3
Set the factor '(-0.1 + x)' equal to zero and attempt to solve:

Simplifying
-0.1 + x = 0

Solving
-0.1 + x = 0

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

Add '0.1' to each side of the equation.
-0.1 + 0.1 + x = 0 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + x = 0 + 0.1
x = 0 + 0.1

Combine like terms: 0 + 0.1 = 0.1
x = 0.1

Simplifying
x = 0.1
Solution
x = {-0.1, 0.1}