X^2+2x+y^2+14y-31=0

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Solution for X^2+2x+y^2+14y-31=0 equation:


Simplifying
X2 + 2x + y2 + 14y + -31 = 0

Reorder the terms:
-31 + X2 + 2x + 14y + y2 = 0

Solving
-31 + X2 + 2x + 14y + y2 = 0

Solving for variable 'X'.

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

Add '31' to each side of the equation.
-31 + X2 + 2x + 14y + 31 + y2 = 0 + 31

Reorder the terms:
-31 + 31 + X2 + 2x + 14y + y2 = 0 + 31

Combine like terms: -31 + 31 = 0
0 + X2 + 2x + 14y + y2 = 0 + 31
X2 + 2x + 14y + y2 = 0 + 31

Combine like terms: 0 + 31 = 31
X2 + 2x + 14y + y2 = 31

Add '-2x' to each side of the equation.
X2 + 2x + 14y + -2x + y2 = 31 + -2x

Reorder the terms:
X2 + 2x + -2x + 14y + y2 = 31 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + 14y + y2 = 31 + -2x
X2 + 14y + y2 = 31 + -2x

Add '-14y' to each side of the equation.
X2 + 14y + -14y + y2 = 31 + -2x + -14y

Combine like terms: 14y + -14y = 0
X2 + 0 + y2 = 31 + -2x + -14y
X2 + y2 = 31 + -2x + -14y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 31 + -2x + -14y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 31 + -2x + -14y + -1y2
X2 = 31 + -2x + -14y + -1y2

Simplifying
X2 = 31 + -2x + -14y + -1y2

Reorder the terms:
-31 + X2 + 2x + 14y + y2 = 31 + -2x + -14y + -1y2 + -31 + 2x + 14y + y2

Reorder the terms:
-31 + X2 + 2x + 14y + y2 = 31 + -31 + -2x + 2x + -14y + 14y + -1y2 + y2

Combine like terms: 31 + -31 = 0
-31 + X2 + 2x + 14y + y2 = 0 + -2x + 2x + -14y + 14y + -1y2 + y2
-31 + X2 + 2x + 14y + y2 = -2x + 2x + -14y + 14y + -1y2 + y2

Combine like terms: -2x + 2x = 0
-31 + X2 + 2x + 14y + y2 = 0 + -14y + 14y + -1y2 + y2
-31 + X2 + 2x + 14y + y2 = -14y + 14y + -1y2 + y2

Combine like terms: -14y + 14y = 0
-31 + X2 + 2x + 14y + y2 = 0 + -1y2 + y2
-31 + X2 + 2x + 14y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-31 + X2 + 2x + 14y + y2 = 0

The solution to this equation could not be determined.

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