X^2+y^2+z^2+4x+3y+6z-2=0

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Solution for X^2+y^2+z^2+4x+3y+6z-2=0 equation:


Simplifying
X2 + y2 + z2 + 4x + 3y + 6z + -2 = 0

Reorder the terms:
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0

Solving
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X2 + 4x + 3y + y2 + 6z + 2 + z2 = 0 + 2

Reorder the terms:
-2 + 2 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + 2
X2 + 4x + 3y + y2 + 6z + z2 = 0 + 2

Combine like terms: 0 + 2 = 2
X2 + 4x + 3y + y2 + 6z + z2 = 2

Add '-4x' to each side of the equation.
X2 + 4x + 3y + y2 + 6z + -4x + z2 = 2 + -4x

Reorder the terms:
X2 + 4x + -4x + 3y + y2 + 6z + z2 = 2 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + 3y + y2 + 6z + z2 = 2 + -4x
X2 + 3y + y2 + 6z + z2 = 2 + -4x

Add '-3y' to each side of the equation.
X2 + 3y + y2 + 6z + -3y + z2 = 2 + -4x + -3y

Reorder the terms:
X2 + 3y + -3y + y2 + 6z + z2 = 2 + -4x + -3y

Combine like terms: 3y + -3y = 0
X2 + 0 + y2 + 6z + z2 = 2 + -4x + -3y
X2 + y2 + 6z + z2 = 2 + -4x + -3y

Add '-1y2' to each side of the equation.
X2 + y2 + 6z + -1y2 + z2 = 2 + -4x + -3y + -1y2

Reorder the terms:
X2 + y2 + -1y2 + 6z + z2 = 2 + -4x + -3y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 + 6z + z2 = 2 + -4x + -3y + -1y2
X2 + 6z + z2 = 2 + -4x + -3y + -1y2

Add '-6z' to each side of the equation.
X2 + 6z + -6z + z2 = 2 + -4x + -3y + -1y2 + -6z

Combine like terms: 6z + -6z = 0
X2 + 0 + z2 = 2 + -4x + -3y + -1y2 + -6z
X2 + z2 = 2 + -4x + -3y + -1y2 + -6z

Add '-1z2' to each side of the equation.
X2 + z2 + -1z2 = 2 + -4x + -3y + -1y2 + -6z + -1z2

Combine like terms: z2 + -1z2 = 0
X2 + 0 = 2 + -4x + -3y + -1y2 + -6z + -1z2
X2 = 2 + -4x + -3y + -1y2 + -6z + -1z2

Simplifying
X2 = 2 + -4x + -3y + -1y2 + -6z + -1z2

Reorder the terms:
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 2 + -4x + -3y + -1y2 + -6z + -1z2 + -2 + 4x + 3y + y2 + 6z + z2

Reorder the terms:
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 2 + -2 + -4x + 4x + -3y + 3y + -1y2 + y2 + -6z + 6z + -1z2 + z2

Combine like terms: 2 + -2 = 0
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + -4x + 4x + -3y + 3y + -1y2 + y2 + -6z + 6z + -1z2 + z2
-2 + X2 + 4x + 3y + y2 + 6z + z2 = -4x + 4x + -3y + 3y + -1y2 + y2 + -6z + 6z + -1z2 + z2

Combine like terms: -4x + 4x = 0
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + -3y + 3y + -1y2 + y2 + -6z + 6z + -1z2 + z2
-2 + X2 + 4x + 3y + y2 + 6z + z2 = -3y + 3y + -1y2 + y2 + -6z + 6z + -1z2 + z2

Combine like terms: -3y + 3y = 0
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + -1y2 + y2 + -6z + 6z + -1z2 + z2
-2 + X2 + 4x + 3y + y2 + 6z + z2 = -1y2 + y2 + -6z + 6z + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + -6z + 6z + -1z2 + z2
-2 + X2 + 4x + 3y + y2 + 6z + z2 = -6z + 6z + -1z2 + z2

Combine like terms: -6z + 6z = 0
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0 + -1z2 + z2
-2 + X2 + 4x + 3y + y2 + 6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2 + X2 + 4x + 3y + y2 + 6z + z2 = 0

The solution to this equation could not be determined.

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