X^2-12x+y^2+4y=-19

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Solution for X^2-12x+y^2+4y=-19 equation: 


Simplifying
X2 + -12x + y2 + 4y = -19

Reorder the terms:
X2 + -12x + 4y + y2 = -19

Solving
X2 + -12x + 4y + y2 = -19

Solving for variable 'X'.

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

Add '12x' to each side of the equation.
X2 + -12x + 4y + 12x + y2 = -19 + 12x

Reorder the terms:
X2 + -12x + 12x + 4y + y2 = -19 + 12x

Combine like terms: -12x + 12x = 0
X2 + 0 + 4y + y2 = -19 + 12x
X2 + 4y + y2 = -19 + 12x

Add '-4y' to each side of the equation.
X2 + 4y + -4y + y2 = -19 + 12x + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 + y2 = -19 + 12x + -4y
X2 + y2 = -19 + 12x + -4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -19 + 12x + -4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -19 + 12x + -4y + -1y2
X2 = -19 + 12x + -4y + -1y2

Simplifying
X2 = -19 + 12x + -4y + -1y2

Reorder the terms:
19 + X2 + -12x + 4y + y2 = -19 + 12x + -4y + -1y2 + 19 + -12x + 4y + y2

Reorder the terms:
19 + X2 + -12x + 4y + y2 = -19 + 19 + 12x + -12x + -4y + 4y + -1y2 + y2

Combine like terms: -19 + 19 = 0
19 + X2 + -12x + 4y + y2 = 0 + 12x + -12x + -4y + 4y + -1y2 + y2
19 + X2 + -12x + 4y + y2 = 12x + -12x + -4y + 4y + -1y2 + y2

Combine like terms: 12x + -12x = 0
19 + X2 + -12x + 4y + y2 = 0 + -4y + 4y + -1y2 + y2
19 + X2 + -12x + 4y + y2 = -4y + 4y + -1y2 + y2

Combine like terms: -4y + 4y = 0
19 + X2 + -12x + 4y + y2 = 0 + -1y2 + y2
19 + X2 + -12x + 4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
19 + X2 + -12x + 4y + y2 = 0

The solution to this equation could not be determined.

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