(X^2-6x+9)+(y^2-2y+1)=6

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Solution for (X^2-6x+9)+(y^2-2y+1)=6 equation:


Simplifying
(X2 + -6x + 9) + (y2 + -2y + 1) = 6

Reorder the terms:
(9 + X2 + -6x) + (y2 + -2y + 1) = 6

Remove parenthesis around (9 + X2 + -6x)
9 + X2 + -6x + (y2 + -2y + 1) = 6

Reorder the terms:
9 + X2 + -6x + (1 + -2y + y2) = 6

Remove parenthesis around (1 + -2y + y2)
9 + X2 + -6x + 1 + -2y + y2 = 6

Reorder the terms:
9 + 1 + X2 + -6x + -2y + y2 = 6

Combine like terms: 9 + 1 = 10
10 + X2 + -6x + -2y + y2 = 6

Solving
10 + X2 + -6x + -2y + y2 = 6

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X2 + -6x + -2y + -10 + y2 = 6 + -10

Reorder the terms:
10 + -10 + X2 + -6x + -2y + y2 = 6 + -10

Combine like terms: 10 + -10 = 0
0 + X2 + -6x + -2y + y2 = 6 + -10
X2 + -6x + -2y + y2 = 6 + -10

Combine like terms: 6 + -10 = -4
X2 + -6x + -2y + y2 = -4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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