x^2+y^2+z^2=2n

Solution for x^2+y^2+z^2=2n equation:

Simplifying
x2 + y2 + z2 = 2n

Solving
x2 + y2 + z2 = 2n

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 + z2 = 2n + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 + z2 = 2n + -1y2
x2 + z2 = 2n + -1y2

Add '-1z2' to each side of the equation.
x2 + z2 + -1z2 = 2n + -1y2 + -1z2

Combine like terms: z2 + -1z2 = 0
x2 + 0 = 2n + -1y2 + -1z2
x2 = 2n + -1y2 + -1z2

Simplifying
x2 = 2n + -1y2 + -1z2

Reorder the terms:
-2n + x2 + y2 + z2 = 2n + -1y2 + -1z2 + -2n + y2 + z2

Reorder the terms:
-2n + x2 + y2 + z2 = 2n + -2n + -1y2 + y2 + -1z2 + z2

Combine like terms: 2n + -2n = 0
-2n + x2 + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2
-2n + x2 + y2 + z2 = -1y2 + y2 + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-2n + x2 + y2 + z2 = 0 + -1z2 + z2
-2n + x2 + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2n + x2 + y2 + z2 = 0

The solution to this equation could not be determined.