X^2+y^2-4x+6y+2k-1=0

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Solution for X^2+y^2-4x+6y+2k-1=0 equation: 


Simplifying
X2 + y2 + -4x + 6y + 2k + -1 = 0

Reorder the terms:
-1 + X2 + 2k + -4x + 6y + y2 = 0

Solving
-1 + X2 + 2k + -4x + 6y + y2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + 2k + -4x + 6y + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + X2 + 2k + -4x + 6y + y2 = 0 + 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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