w^4-2401=

Solution for w^4-2401= equation:

Simplifying
w4 + -2401 = 0

Reorder the terms:
-2401 + w4 = 0

Solving
-2401 + w4 = 0

Solving for variable 'w'.

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

Add '2401' to each side of the equation.
-2401 + 2401 + w4 = 0 + 2401

Combine like terms: -2401 + 2401 = 0
0 + w4 = 0 + 2401
w4 = 0 + 2401

Combine like terms: 0 + 2401 = 2401
w4 = 2401

Simplifying
w4 = 2401

Reorder the terms:
-2401 + w4 = 2401 + -2401

Combine like terms: 2401 + -2401 = 0
-2401 + w4 = 0

Factor a difference between two squares.
(49 + w2)(-49 + w2) = 0

Factor a difference between two squares.
(49 + w2)((7 + w)(-7 + w)) = 0

Subproblem 1
Set the factor '(49 + w2)' equal to zero and attempt to solve:

Simplifying
49 + w2 = 0

Solving
49 + w2 = 0

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

Add '-49' to each side of the equation.
49 + -49 + w2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + w2 = 0 + -49
w2 = 0 + -49

Combine like terms: 0 + -49 = -49
w2 = -49

Simplifying
w2 = -49

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

Simplifying
7 + w = 0

Solving
7 + w = 0

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

Add '-7' to each side of the equation.
7 + -7 + w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + w = 0 + -7
w = 0 + -7

Combine like terms: 0 + -7 = -7
w = -7

Simplifying
w = -7
Subproblem 3
Set the factor '(-7 + w)' equal to zero and attempt to solve:

Simplifying
-7 + w = 0

Solving
-7 + w = 0

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

Add '7' to each side of the equation.
-7 + 7 + w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + w = 0 + 7
w = 0 + 7

Combine like terms: 0 + 7 = 7
w = 7

Simplifying
w = 7
Solution
w = {-7, 7}