x^4=65536

Solution for x^4=65536 equation:

Simplifying
x4 = 65536

Solving
x4 = 65536

Solving for variable 'x'.

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

Simplifying
x4 = 65536

Reorder the terms:
-65536 + x4 = 65536 + -65536

Combine like terms: 65536 + -65536 = 0
-65536 + x4 = 0

Factor a difference between two squares.
(256 + x2)(-256 + x2) = 0

Factor a difference between two squares.
(256 + x2)((16 + x)(-16 + x)) = 0

Subproblem 1
Set the factor '(256 + x2)' equal to zero and attempt to solve:

Simplifying
256 + x2 = 0

Solving
256 + x2 = 0

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

Add '-256' to each side of the equation.
256 + -256 + x2 = 0 + -256

Combine like terms: 256 + -256 = 0
0 + x2 = 0 + -256
x2 = 0 + -256

Combine like terms: 0 + -256 = -256
x2 = -256

Simplifying
x2 = -256

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

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Subproblem 3
Set the factor '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

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

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Simplifying
x = 16
Solution
x = {-16, 16}