x^2-y^2+z^2+4=0

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Solution for x^2-y^2+z^2+4=0 equation:


Simplifying
x2 + -1y2 + z2 + 4 = 0

Reorder the terms:
4 + x2 + -1y2 + z2 = 0

Solving
4 + x2 + -1y2 + z2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + x2 + -1y2 + -4 + z2 = 0 + -4

Reorder the terms:
4 + -4 + x2 + -1y2 + z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x2 + -1y2 + z2 = 0 + -4
x2 + -1y2 + z2 = 0 + -4

Combine like terms: 0 + -4 = -4
x2 + -1y2 + z2 = -4

Add 'y2' to each side of the equation.
x2 + -1y2 + y2 + z2 = -4 + y2

Combine like terms: -1y2 + y2 = 0
x2 + 0 + z2 = -4 + y2
x2 + z2 = -4 + y2

Add '-1z2' to each side of the equation.
x2 + z2 + -1z2 = -4 + y2 + -1z2

Combine like terms: z2 + -1z2 = 0
x2 + 0 = -4 + y2 + -1z2
x2 = -4 + y2 + -1z2

Simplifying
x2 = -4 + y2 + -1z2

Reorder the terms:
4 + x2 + -1y2 + z2 = -4 + y2 + -1z2 + 4 + -1y2 + z2

Reorder the terms:
4 + x2 + -1y2 + z2 = -4 + 4 + y2 + -1y2 + -1z2 + z2

Combine like terms: -4 + 4 = 0
4 + x2 + -1y2 + z2 = 0 + y2 + -1y2 + -1z2 + z2
4 + x2 + -1y2 + z2 = y2 + -1y2 + -1z2 + z2

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

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

The solution to this equation could not be determined.

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