X^4+Y^4=2Z^2

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Solution for X^4+Y^4=2Z^2 equation: 


Simplifying
X4 + Y4 = 2Z2

Solving
X4 + Y4 = 2Z2

Solving for variable 'X'.

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

Add '-1Y4' to each side of the equation.
X4 + Y4 + -1Y4 = -1Y4 + 2Z2

Combine like terms: Y4 + -1Y4 = 0
X4 + 0 = -1Y4 + 2Z2
X4 = -1Y4 + 2Z2

Simplifying
X4 = -1Y4 + 2Z2

Reorder the terms:
X4 + Y4 + -2Z2 = -1Y4 + Y4 + 2Z2 + -2Z2

Combine like terms: -1Y4 + Y4 = 0
X4 + Y4 + -2Z2 = 0 + 2Z2 + -2Z2
X4 + Y4 + -2Z2 = 2Z2 + -2Z2

Combine like terms: 2Z2 + -2Z2 = 0
X4 + Y4 + -2Z2 = 0

The solution to this equation could not be determined.

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