X^2+y^2+20x-10y+4=0

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Solution for X^2+y^2+20x-10y+4=0 equation: 


Simplifying
X2 + y2 + 20x + -10y + 4 = 0

Reorder the terms:
4 + X2 + 20x + -10y + y2 = 0

Solving
4 + X2 + 20x + -10y + 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 + 20x + -10y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + X2 + 20x + -10y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + 20x + -10y + y2 = 0 + -4
X2 + 20x + -10y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
X2 + 20x + -10y + y2 = -4

Add '-20x' to each side of the equation.
X2 + 20x + -10y + -20x + y2 = -4 + -20x

Reorder the terms:
X2 + 20x + -20x + -10y + y2 = -4 + -20x

Combine like terms: 20x + -20x = 0
X2 + 0 + -10y + y2 = -4 + -20x
X2 + -10y + y2 = -4 + -20x

Add '10y' to each side of the equation.
X2 + -10y + 10y + y2 = -4 + -20x + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + y2 = -4 + -20x + 10y
X2 + y2 = -4 + -20x + 10y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -4 + -20x + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -4 + -20x + 10y + -1y2
X2 = -4 + -20x + 10y + -1y2

Simplifying
X2 = -4 + -20x + 10y + -1y2

Reorder the terms:
4 + X2 + 20x + -10y + y2 = -4 + -20x + 10y + -1y2 + 4 + 20x + -10y + y2

Reorder the terms:
4 + X2 + 20x + -10y + y2 = -4 + 4 + -20x + 20x + 10y + -10y + -1y2 + y2

Combine like terms: -4 + 4 = 0
4 + X2 + 20x + -10y + y2 = 0 + -20x + 20x + 10y + -10y + -1y2 + y2
4 + X2 + 20x + -10y + y2 = -20x + 20x + 10y + -10y + -1y2 + y2

Combine like terms: -20x + 20x = 0
4 + X2 + 20x + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
4 + X2 + 20x + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
4 + X2 + 20x + -10y + y2 = 0 + -1y2 + y2
4 + X2 + 20x + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
4 + X2 + 20x + -10y + y2 = 0

The solution to this equation could not be determined.

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