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

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


Simplifying
X2 + y2 + 2y + -1z2 = 0

Reorder the terms:
X2 + 2y + y2 + -1z2 = 0

Solving
X2 + 2y + y2 + -1z2 = 0

Solving for variable 'X'.

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

Add '-2y' to each side of the equation.
X2 + 2y + y2 + -2y + -1z2 = 0 + -2y

Reorder the terms:
X2 + 2y + -2y + y2 + -1z2 = 0 + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + y2 + -1z2 = 0 + -2y
X2 + y2 + -1z2 = 0 + -2y
Remove the zero:
X2 + y2 + -1z2 = -2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 + -1z2 = -2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 + -1z2 = -2y + -1y2
X2 + -1z2 = -2y + -1y2

Add 'z2' to each side of the equation.
X2 + -1z2 + z2 = -2y + -1y2 + z2

Combine like terms: -1z2 + z2 = 0
X2 + 0 = -2y + -1y2 + z2
X2 = -2y + -1y2 + z2

Simplifying
X2 = -2y + -1y2 + z2

Reorder the terms:
X2 + 2y + y2 + -1z2 = -2y + 2y + -1y2 + y2 + z2 + -1z2

Combine like terms: -2y + 2y = 0
X2 + 2y + y2 + -1z2 = 0 + -1y2 + y2 + z2 + -1z2
X2 + 2y + y2 + -1z2 = -1y2 + y2 + z2 + -1z2

Combine like terms: -1y2 + y2 = 0
X2 + 2y + y2 + -1z2 = 0 + z2 + -1z2
X2 + 2y + y2 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
X2 + 2y + y2 + -1z2 = 0

The solution to this equation could not be determined.

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