x^2-y^2+z^2=0

Solution for x^2-y^2+z^2=0 equation:

Simplifying
x2 + -1y2 + z2 = 0

Solving
x2 + -1y2 + z2 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 + z2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 + z2 = 0 + y2
x2 + z2 = 0 + y2
Remove the zero:
x2 + z2 = y2

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

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

Simplifying
x2 = y2 + -1z2

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

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

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

The solution to this equation could not be determined.