x^4+y^4+w^4+z^4=2401

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Solution for x^4+y^4+w^4+z^4=2401 equation: 


Simplifying
x4 + y4 + w4 + z4 = 2401

Reorder the terms:
w4 + x4 + y4 + z4 = 2401

Solving
w4 + x4 + y4 + z4 = 2401

Solving for variable 'w'.

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

Add '-1x4' to each side of the equation.
w4 + x4 + y4 + -1x4 + z4 = 2401 + -1x4

Reorder the terms:
w4 + x4 + -1x4 + y4 + z4 = 2401 + -1x4

Combine like terms: x4 + -1x4 = 0
w4 + 0 + y4 + z4 = 2401 + -1x4
w4 + y4 + z4 = 2401 + -1x4

Add '-1y4' to each side of the equation.
w4 + y4 + -1y4 + z4 = 2401 + -1x4 + -1y4

Combine like terms: y4 + -1y4 = 0
w4 + 0 + z4 = 2401 + -1x4 + -1y4
w4 + z4 = 2401 + -1x4 + -1y4

Add '-1z4' to each side of the equation.
w4 + z4 + -1z4 = 2401 + -1x4 + -1y4 + -1z4

Combine like terms: z4 + -1z4 = 0
w4 + 0 = 2401 + -1x4 + -1y4 + -1z4
w4 = 2401 + -1x4 + -1y4 + -1z4

Simplifying
w4 = 2401 + -1x4 + -1y4 + -1z4

Reorder the terms:
-2401 + w4 + x4 + y4 + z4 = 2401 + -1x4 + -1y4 + -1z4 + -2401 + x4 + y4 + z4

Reorder the terms:
-2401 + w4 + x4 + y4 + z4 = 2401 + -2401 + -1x4 + x4 + -1y4 + y4 + -1z4 + z4

Combine like terms: 2401 + -2401 = 0
-2401 + w4 + x4 + y4 + z4 = 0 + -1x4 + x4 + -1y4 + y4 + -1z4 + z4
-2401 + w4 + x4 + y4 + z4 = -1x4 + x4 + -1y4 + y4 + -1z4 + z4

Combine like terms: -1x4 + x4 = 0
-2401 + w4 + x4 + y4 + z4 = 0 + -1y4 + y4 + -1z4 + z4
-2401 + w4 + x4 + y4 + z4 = -1y4 + y4 + -1z4 + z4

Combine like terms: -1y4 + y4 = 0
-2401 + w4 + x4 + y4 + z4 = 0 + -1z4 + z4
-2401 + w4 + x4 + y4 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
-2401 + w4 + x4 + y4 + z4 = 0

The solution to this equation could not be determined.

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