x^2+z^2+y^2=25

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Solution for x^2+z^2+y^2=25 equation:


Simplifying
x2 + z2 + y2 = 25

Reorder the terms:
x2 + y2 + z2 = 25

Solving
x2 + y2 + z2 = 25

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 = 25 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 + z2 = 25 + -1y2
x2 + z2 = 25 + -1y2

Add '-1z2' to each side of the equation.
x2 + z2 + -1z2 = 25 + -1y2 + -1z2

Combine like terms: z2 + -1z2 = 0
x2 + 0 = 25 + -1y2 + -1z2
x2 = 25 + -1y2 + -1z2

Simplifying
x2 = 25 + -1y2 + -1z2

Reorder the terms:
-25 + x2 + y2 + z2 = 25 + -1y2 + -1z2 + -25 + y2 + z2

Reorder the terms:
-25 + x2 + y2 + z2 = 25 + -25 + -1y2 + y2 + -1z2 + z2

Combine like terms: 25 + -25 = 0
-25 + x2 + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2
-25 + x2 + y2 + z2 = -1y2 + y2 + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-25 + x2 + y2 + z2 = 0 + -1z2 + z2
-25 + x2 + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-25 + x2 + y2 + z2 = 0

The solution to this equation could not be determined.

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