u^4-256=

Solution for u^4-256= equation:

Simplifying
u4 + -256 = 0

Reorder the terms:
-256 + u4 = 0

Solving
-256 + u4 = 0

Solving for variable 'u'.

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

Add '256' to each side of the equation.
-256 + 256 + u4 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + u4 = 0 + 256
u4 = 0 + 256

Combine like terms: 0 + 256 = 256
u4 = 256

Simplifying
u4 = 256

Reorder the terms:
-256 + u4 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + u4 = 0

Factor a difference between two squares.
(16 + u2)(-16 + u2) = 0

Factor a difference between two squares.
(16 + u2)((4 + u)(-4 + u)) = 0

Subproblem 1
Set the factor '(16 + u2)' equal to zero and attempt to solve:

Simplifying
16 + u2 = 0

Solving
16 + u2 = 0

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

Add '-16' to each side of the equation.
16 + -16 + u2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + u2 = 0 + -16
u2 = 0 + -16

Combine like terms: 0 + -16 = -16
u2 = -16

Simplifying
u2 = -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 '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

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

Combine like terms: 4 + -4 = 0
0 + u = 0 + -4
u = 0 + -4

Combine like terms: 0 + -4 = -4
u = -4

Simplifying
u = -4
Subproblem 3
Set the factor '(-4 + u)' equal to zero and attempt to solve:

Simplifying
-4 + u = 0

Solving
-4 + u = 0

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

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

Combine like terms: -4 + 4 = 0
0 + u = 0 + 4
u = 0 + 4

Combine like terms: 0 + 4 = 4
u = 4

Simplifying
u = 4
Solution
u = {-4, 4}