X^2-2x+y^2+12y=64

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Solution for X^2-2x+y^2+12y=64 equation:


Simplifying
X2 + -2x + y2 + 12y = 64

Reorder the terms:
X2 + -2x + 12y + y2 = 64

Solving
X2 + -2x + 12y + y2 = 64

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
X2 + -2x + 12y + 2x + y2 = 64 + 2x

Reorder the terms:
X2 + -2x + 2x + 12y + y2 = 64 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + 12y + y2 = 64 + 2x
X2 + 12y + y2 = 64 + 2x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + y2 = 64 + 2x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + y2 = 64 + 2x + -12y
X2 + y2 = 64 + 2x + -12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 64 + 2x + -12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 64 + 2x + -12y + -1y2
X2 = 64 + 2x + -12y + -1y2

Simplifying
X2 = 64 + 2x + -12y + -1y2

Reorder the terms:
-64 + X2 + -2x + 12y + y2 = 64 + 2x + -12y + -1y2 + -64 + -2x + 12y + y2

Reorder the terms:
-64 + X2 + -2x + 12y + y2 = 64 + -64 + 2x + -2x + -12y + 12y + -1y2 + y2

Combine like terms: 64 + -64 = 0
-64 + X2 + -2x + 12y + y2 = 0 + 2x + -2x + -12y + 12y + -1y2 + y2
-64 + X2 + -2x + 12y + y2 = 2x + -2x + -12y + 12y + -1y2 + y2

Combine like terms: 2x + -2x = 0
-64 + X2 + -2x + 12y + y2 = 0 + -12y + 12y + -1y2 + y2
-64 + X2 + -2x + 12y + y2 = -12y + 12y + -1y2 + y2

Combine like terms: -12y + 12y = 0
-64 + X2 + -2x + 12y + y2 = 0 + -1y2 + y2
-64 + X2 + -2x + 12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-64 + X2 + -2x + 12y + y2 = 0

The solution to this equation could not be determined.

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