x^4=10000

Solution for x^4=10000 equation:

Simplifying
x4 = 10000

Solving
x4 = 10000

Solving for variable 'x'.

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

Simplifying
x4 = 10000

Reorder the terms:
-10000 + x4 = 10000 + -10000

Combine like terms: 10000 + -10000 = 0
-10000 + x4 = 0

Factor a difference between two squares.
(100 + x2)(-100 + x2) = 0

Factor a difference between two squares.
(100 + x2)((10 + x)(-10 + x)) = 0

Subproblem 1
Set the factor '(100 + x2)' equal to zero and attempt to solve:

Simplifying
100 + x2 = 0

Solving
100 + x2 = 0

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

Add '-100' to each side of the equation.
100 + -100 + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + x2 = 0 + -100
x2 = 0 + -100

Combine like terms: 0 + -100 = -100
x2 = -100

Simplifying
x2 = -100

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

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 3
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {-10, 10}