w^4-36=

Solution for w^4-36= equation:

Simplifying
w4 + -36 = 0

Reorder the terms:
-36 + w4 = 0

Solving
-36 + w4 = 0

Solving for variable 'w'.

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

Add '36' to each side of the equation.
-36 + 36 + w4 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + w4 = 0 + 36
w4 = 0 + 36

Combine like terms: 0 + 36 = 36
w4 = 36

Simplifying
w4 = 36

Reorder the terms:
-36 + w4 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + w4 = 0

Factor a difference between two squares.
(6 + w2)(-6 + w2) = 0

Subproblem 1
Set the factor '(6 + w2)' equal to zero and attempt to solve:

Simplifying
6 + w2 = 0

Solving
6 + w2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + w2 = 0 + -6
w2 = 0 + -6

Combine like terms: 0 + -6 = -6
w2 = -6

Simplifying
w2 = -6

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 '(-6 + w2)' equal to zero and attempt to solve:

Simplifying
-6 + w2 = 0

Solving
-6 + w2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + w2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + w2 = 0 + 6
w2 = 0 + 6

Combine like terms: 0 + 6 = 6
w2 = 6

Simplifying
w2 = 6

Take the square root of each side:
w = {-2.449489743, 2.449489743}
Solution
w = {-2.449489743, 2.449489743}