w^4-4096=

Solution for w^4-4096= equation:

Simplifying
w4 + -4096 = 0

Reorder the terms:
-4096 + w4 = 0

Solving
-4096 + w4 = 0

Solving for variable 'w'.

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

Add '4096' to each side of the equation.
-4096 + 4096 + w4 = 0 + 4096

Combine like terms: -4096 + 4096 = 0
0 + w4 = 0 + 4096
w4 = 0 + 4096

Combine like terms: 0 + 4096 = 4096
w4 = 4096

Simplifying
w4 = 4096

Reorder the terms:
-4096 + w4 = 4096 + -4096

Combine like terms: 4096 + -4096 = 0
-4096 + w4 = 0

Factor a difference between two squares.
(64 + w2)(-64 + w2) = 0

Factor a difference between two squares.
(64 + w2)((8 + w)(-8 + w)) = 0

Subproblem 1
Set the factor '(64 + w2)' equal to zero and attempt to solve:

Simplifying
64 + w2 = 0

Solving
64 + w2 = 0

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

Add '-64' to each side of the equation.
64 + -64 + w2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + w2 = 0 + -64
w2 = 0 + -64

Combine like terms: 0 + -64 = -64
w2 = -64

Simplifying
w2 = -64

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 '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

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

Add '-8' to each side of the equation.
8 + -8 + w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + w = 0 + -8
w = 0 + -8

Combine like terms: 0 + -8 = -8
w = -8

Simplifying
w = -8
Subproblem 3
Set the factor '(-8 + w)' equal to zero and attempt to solve:

Simplifying
-8 + w = 0

Solving
-8 + w = 0

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

Add '8' to each side of the equation.
-8 + 8 + w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + w = 0 + 8
w = 0 + 8

Combine like terms: 0 + 8 = 8
w = 8

Simplifying
w = 8
Solution
w = {-8, 8}