w^4-64=

Solution for w^4-64= equation:

Simplifying
w4 + -64 = 0

Reorder the terms:
-64 + w4 = 0

Solving
-64 + w4 = 0

Solving for variable 'w'.

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

Add '64' to each side of the equation.
-64 + 64 + w4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + w4 = 0 + 64
w4 = 0 + 64

Combine like terms: 0 + 64 = 64
w4 = 64

Simplifying
w4 = 64

Reorder the terms:
-64 + w4 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + w4 = 0

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

Subproblem 1
Set the factor '(8 + w2)' equal to zero and attempt to solve:

Simplifying
8 + w2 = 0

Solving
8 + w2 = 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 + w2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + w2 = 0 + -8
w2 = 0 + -8

Combine like terms: 0 + -8 = -8
w2 = -8

Simplifying
w2 = -8

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 + w2)' equal to zero and attempt to solve:

Simplifying
-8 + w2 = 0

Solving
-8 + w2 = 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 + w2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + w2 = 0 + 8
w2 = 0 + 8

Combine like terms: 0 + 8 = 8
w2 = 8

Simplifying
w2 = 8

Take the square root of each side:
w = {-2.828427125, 2.828427125}
Solution
w = {-2.828427125, 2.828427125}