X^2+y^2-10x+12y+61=81

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Solution for X^2+y^2-10x+12y+61=81 equation: 


Simplifying
X2 + y2 + -10x + 12y + 61 = 81

Reorder the terms:
61 + X2 + -10x + 12y + y2 = 81

Solving
61 + X2 + -10x + 12y + y2 = 81

Solving for variable 'X'.

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

Add '-61' to each side of the equation.
61 + X2 + -10x + 12y + -61 + y2 = 81 + -61

Reorder the terms:
61 + -61 + X2 + -10x + 12y + y2 = 81 + -61

Combine like terms: 61 + -61 = 0
0 + X2 + -10x + 12y + y2 = 81 + -61
X2 + -10x + 12y + y2 = 81 + -61

Combine like terms: 81 + -61 = 20
X2 + -10x + 12y + y2 = 20

Add '10x' to each side of the equation.
X2 + -10x + 12y + 10x + y2 = 20 + 10x

Reorder the terms:
X2 + -10x + 10x + 12y + y2 = 20 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + 12y + y2 = 20 + 10x
X2 + 12y + y2 = 20 + 10x

Add '-12y' to each side of the equation.
X2 + 12y + -12y + y2 = 20 + 10x + -12y

Combine like terms: 12y + -12y = 0
X2 + 0 + y2 = 20 + 10x + -12y
X2 + y2 = 20 + 10x + -12y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 20 + 10x + -12y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 20 + 10x + -12y + -1y2
X2 = 20 + 10x + -12y + -1y2

Simplifying
X2 = 20 + 10x + -12y + -1y2

Reorder the terms:
-20 + X2 + -10x + 12y + y2 = 20 + 10x + -12y + -1y2 + -20 + -10x + 12y + y2

Reorder the terms:
-20 + X2 + -10x + 12y + y2 = 20 + -20 + 10x + -10x + -12y + 12y + -1y2 + y2

Combine like terms: 20 + -20 = 0
-20 + X2 + -10x + 12y + y2 = 0 + 10x + -10x + -12y + 12y + -1y2 + y2
-20 + X2 + -10x + 12y + y2 = 10x + -10x + -12y + 12y + -1y2 + y2

Combine like terms: 10x + -10x = 0
-20 + X2 + -10x + 12y + y2 = 0 + -12y + 12y + -1y2 + y2
-20 + X2 + -10x + 12y + y2 = -12y + 12y + -1y2 + y2

Combine like terms: -12y + 12y = 0
-20 + X2 + -10x + 12y + y2 = 0 + -1y2 + y2
-20 + X2 + -10x + 12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-20 + X2 + -10x + 12y + y2 = 0

The solution to this equation could not be determined.

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