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

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


Simplifying
X2 + y2 + z2 + -4x + 2y + -4 = 0

Reorder the terms:
-4 + X2 + -4x + 2y + y2 + z2 = 0

Solving
-4 + X2 + -4x + 2y + y2 + 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 + -4x + 2y + y2 + 4 + z2 = 0 + 4

Reorder the terms:
-4 + 4 + X2 + -4x + 2y + y2 + z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + X2 + -4x + 2y + y2 + z2 = 0 + 4
X2 + -4x + 2y + y2 + z2 = 0 + 4

Combine like terms: 0 + 4 = 4
X2 + -4x + 2y + y2 + z2 = 4

Add '4x' to each side of the equation.
X2 + -4x + 2y + y2 + 4x + z2 = 4 + 4x

Reorder the terms:
X2 + -4x + 4x + 2y + y2 + z2 = 4 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + 2y + y2 + z2 = 4 + 4x
X2 + 2y + y2 + z2 = 4 + 4x

Add '-2y' to each side of the equation.
X2 + 2y + y2 + -2y + z2 = 4 + 4x + -2y

Reorder the terms:
X2 + 2y + -2y + y2 + z2 = 4 + 4x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + y2 + z2 = 4 + 4x + -2y
X2 + y2 + z2 = 4 + 4x + -2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 + z2 = 4 + 4x + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 + z2 = 4 + 4x + -2y + -1y2
X2 + z2 = 4 + 4x + -2y + -1y2

Add '-1z2' to each side of the equation.
X2 + z2 + -1z2 = 4 + 4x + -2y + -1y2 + -1z2

Combine like terms: z2 + -1z2 = 0
X2 + 0 = 4 + 4x + -2y + -1y2 + -1z2
X2 = 4 + 4x + -2y + -1y2 + -1z2

Simplifying
X2 = 4 + 4x + -2y + -1y2 + -1z2

Reorder the terms:
-4 + X2 + -4x + 2y + y2 + z2 = 4 + 4x + -2y + -1y2 + -1z2 + -4 + -4x + 2y + y2 + z2

Reorder the terms:
-4 + X2 + -4x + 2y + y2 + z2 = 4 + -4 + 4x + -4x + -2y + 2y + -1y2 + y2 + -1z2 + z2

Combine like terms: 4 + -4 = 0
-4 + X2 + -4x + 2y + y2 + z2 = 0 + 4x + -4x + -2y + 2y + -1y2 + y2 + -1z2 + z2
-4 + X2 + -4x + 2y + y2 + z2 = 4x + -4x + -2y + 2y + -1y2 + y2 + -1z2 + z2

Combine like terms: 4x + -4x = 0
-4 + X2 + -4x + 2y + y2 + z2 = 0 + -2y + 2y + -1y2 + y2 + -1z2 + z2
-4 + X2 + -4x + 2y + y2 + z2 = -2y + 2y + -1y2 + y2 + -1z2 + z2

Combine like terms: -2y + 2y = 0
-4 + X2 + -4x + 2y + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2
-4 + X2 + -4x + 2y + y2 + z2 = -1y2 + y2 + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-4 + X2 + -4x + 2y + y2 + z2 = 0 + -1z2 + z2
-4 + X2 + -4x + 2y + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-4 + X2 + -4x + 2y + y2 + z2 = 0

The solution to this equation could not be determined.

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