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

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


Simplifying
X2 + y2 + -2y + 4x = 0

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

Solving
X2 + 4x + -2y + y2 = 0

Solving for variable 'X'.

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

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

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

Combine like terms: 4x + -4x = 0
X2 + 0 + -2y + y2 = 0 + -4x
X2 + -2y + y2 = 0 + -4x
Remove the zero:
X2 + -2y + y2 = -4x

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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