X^2+y^2-4x+14y+4=0

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Solution for X^2+y^2-4x+14y+4=0 equation: 


Simplifying
X2 + y2 + -4x + 14y + 4 = 0

Reorder the terms:
4 + X2 + -4x + 14y + y2 = 0

Solving
4 + X2 + -4x + 14y + y2 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X2 + -4x + 14y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + X2 + -4x + 14y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + -4x + 14y + y2 = 0 + -4
X2 + -4x + 14y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
X2 + -4x + 14y + y2 = -4

Add '4x' to each side of the equation.
X2 + -4x + 14y + 4x + y2 = -4 + 4x

Reorder the terms:
X2 + -4x + 4x + 14y + y2 = -4 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + 14y + y2 = -4 + 4x
X2 + 14y + y2 = -4 + 4x

Add '-14y' to each side of the equation.
X2 + 14y + -14y + y2 = -4 + 4x + -14y

Combine like terms: 14y + -14y = 0
X2 + 0 + y2 = -4 + 4x + -14y
X2 + y2 = -4 + 4x + -14y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -4 + 4x + -14y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -4 + 4x + -14y + -1y2
X2 = -4 + 4x + -14y + -1y2

Simplifying
X2 = -4 + 4x + -14y + -1y2

Reorder the terms:
4 + X2 + -4x + 14y + y2 = -4 + 4x + -14y + -1y2 + 4 + -4x + 14y + y2

Reorder the terms:
4 + X2 + -4x + 14y + y2 = -4 + 4 + 4x + -4x + -14y + 14y + -1y2 + y2

Combine like terms: -4 + 4 = 0
4 + X2 + -4x + 14y + y2 = 0 + 4x + -4x + -14y + 14y + -1y2 + y2
4 + X2 + -4x + 14y + y2 = 4x + -4x + -14y + 14y + -1y2 + y2

Combine like terms: 4x + -4x = 0
4 + X2 + -4x + 14y + y2 = 0 + -14y + 14y + -1y2 + y2
4 + X2 + -4x + 14y + y2 = -14y + 14y + -1y2 + y2

Combine like terms: -14y + 14y = 0
4 + X2 + -4x + 14y + y2 = 0 + -1y2 + y2
4 + X2 + -4x + 14y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
4 + X2 + -4x + 14y + y2 = 0

The solution to this equation could not be determined.

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