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

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


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

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

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

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X2 + -4x + 10y + -20 + y2 = 0 + -20

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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