X^2+y^2+2x-12y+33=0

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Solution for X^2+y^2+2x-12y+33=0 equation:


Simplifying
X2 + y2 + 2x + -12y + 33 = 0

Reorder the terms:
33 + X2 + 2x + -12y + y2 = 0

Solving
33 + X2 + 2x + -12y + y2 = 0

Solving for variable 'X'.

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

Add '-33' to each side of the equation.
33 + X2 + 2x + -12y + -33 + y2 = 0 + -33

Reorder the terms:
33 + -33 + X2 + 2x + -12y + y2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + X2 + 2x + -12y + y2 = 0 + -33
X2 + 2x + -12y + y2 = 0 + -33

Combine like terms: 0 + -33 = -33
X2 + 2x + -12y + y2 = -33

Add '-2x' to each side of the equation.
X2 + 2x + -12y + -2x + y2 = -33 + -2x

Reorder the terms:
X2 + 2x + -2x + -12y + y2 = -33 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -12y + y2 = -33 + -2x
X2 + -12y + y2 = -33 + -2x

Add '12y' to each side of the equation.
X2 + -12y + 12y + y2 = -33 + -2x + 12y

Combine like terms: -12y + 12y = 0
X2 + 0 + y2 = -33 + -2x + 12y
X2 + y2 = -33 + -2x + 12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -33 + -2x + 12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -33 + -2x + 12y + -1y2
X2 = -33 + -2x + 12y + -1y2

Simplifying
X2 = -33 + -2x + 12y + -1y2

Reorder the terms:
33 + X2 + 2x + -12y + y2 = -33 + -2x + 12y + -1y2 + 33 + 2x + -12y + y2

Reorder the terms:
33 + X2 + 2x + -12y + y2 = -33 + 33 + -2x + 2x + 12y + -12y + -1y2 + y2

Combine like terms: -33 + 33 = 0
33 + X2 + 2x + -12y + y2 = 0 + -2x + 2x + 12y + -12y + -1y2 + y2
33 + X2 + 2x + -12y + y2 = -2x + 2x + 12y + -12y + -1y2 + y2

Combine like terms: -2x + 2x = 0
33 + X2 + 2x + -12y + y2 = 0 + 12y + -12y + -1y2 + y2
33 + X2 + 2x + -12y + y2 = 12y + -12y + -1y2 + y2

Combine like terms: 12y + -12y = 0
33 + X2 + 2x + -12y + y2 = 0 + -1y2 + y2
33 + X2 + 2x + -12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
33 + X2 + 2x + -12y + y2 = 0

The solution to this equation could not be determined.

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