X^2-6x+y^2+14y=-80

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Solution for X^2-6x+y^2+14y=-80 equation: 


Simplifying
X2 + -6x + y2 + 14y = -80

Reorder the terms:
X2 + -6x + 14y + y2 = -80

Solving
X2 + -6x + 14y + y2 = -80

Solving for variable 'X'.

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

Add '6x' to each side of the equation.
X2 + -6x + 14y + 6x + y2 = -80 + 6x

Reorder the terms:
X2 + -6x + 6x + 14y + y2 = -80 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + 14y + y2 = -80 + 6x
X2 + 14y + y2 = -80 + 6x

Add '-14y' to each side of the equation.
X2 + 14y + -14y + y2 = -80 + 6x + -14y

Combine like terms: 14y + -14y = 0
X2 + 0 + y2 = -80 + 6x + -14y
X2 + y2 = -80 + 6x + -14y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -80 + 6x + -14y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -80 + 6x + -14y + -1y2
X2 = -80 + 6x + -14y + -1y2

Simplifying
X2 = -80 + 6x + -14y + -1y2

Reorder the terms:
80 + X2 + -6x + 14y + y2 = -80 + 6x + -14y + -1y2 + 80 + -6x + 14y + y2

Reorder the terms:
80 + X2 + -6x + 14y + y2 = -80 + 80 + 6x + -6x + -14y + 14y + -1y2 + y2

Combine like terms: -80 + 80 = 0
80 + X2 + -6x + 14y + y2 = 0 + 6x + -6x + -14y + 14y + -1y2 + y2
80 + X2 + -6x + 14y + y2 = 6x + -6x + -14y + 14y + -1y2 + y2

Combine like terms: 6x + -6x = 0
80 + X2 + -6x + 14y + y2 = 0 + -14y + 14y + -1y2 + y2
80 + X2 + -6x + 14y + y2 = -14y + 14y + -1y2 + y2

Combine like terms: -14y + 14y = 0
80 + X2 + -6x + 14y + y2 = 0 + -1y2 + y2
80 + X2 + -6x + 14y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
80 + X2 + -6x + 14y + y2 = 0

The solution to this equation could not be determined.

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