X^2+y^2+5y=-x

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Solution for X^2+y^2+5y=-x equation:


Simplifying
X2 + y2 + 5y = -1x

Reorder the terms:
X2 + 5y + y2 = -1x

Solving
X2 + 5y + y2 = -1x

Solving for variable 'X'.

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

Add '-5y' to each side of the equation.
X2 + 5y + -5y + y2 = -1x + -5y

Combine like terms: 5y + -5y = 0
X2 + 0 + y2 = -1x + -5y
X2 + y2 = -1x + -5y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -1x + -5y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -1x + -5y + -1y2
X2 = -1x + -5y + -1y2

Simplifying
X2 = -1x + -5y + -1y2

Reorder the terms:
X2 + x + 5y + y2 = -1x + x + -5y + 5y + -1y2 + y2

Combine like terms: -1x + x = 0
X2 + x + 5y + y2 = 0 + -5y + 5y + -1y2 + y2
X2 + x + 5y + y2 = -5y + 5y + -1y2 + y2

Combine like terms: -5y + 5y = 0
X2 + x + 5y + y2 = 0 + -1y2 + y2
X2 + x + 5y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
X2 + x + 5y + y2 = 0

The solution to this equation could not be determined.

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