X^2-10x+y^2+2y-55=0

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Solution for X^2-10x+y^2+2y-55=0 equation:


Simplifying
X2 + -10x + y2 + 2y + -55 = 0

Reorder the terms:
-55 + X2 + -10x + 2y + y2 = 0

Solving
-55 + X2 + -10x + 2y + y2 = 0

Solving for variable 'X'.

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

Add '55' to each side of the equation.
-55 + X2 + -10x + 2y + 55 + y2 = 0 + 55

Reorder the terms:
-55 + 55 + X2 + -10x + 2y + y2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + X2 + -10x + 2y + y2 = 0 + 55
X2 + -10x + 2y + y2 = 0 + 55

Combine like terms: 0 + 55 = 55
X2 + -10x + 2y + y2 = 55

Add '10x' to each side of the equation.
X2 + -10x + 2y + 10x + y2 = 55 + 10x

Reorder the terms:
X2 + -10x + 10x + 2y + y2 = 55 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + 2y + y2 = 55 + 10x
X2 + 2y + y2 = 55 + 10x

Add '-2y' to each side of the equation.
X2 + 2y + -2y + y2 = 55 + 10x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + y2 = 55 + 10x + -2y
X2 + y2 = 55 + 10x + -2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 55 + 10x + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 55 + 10x + -2y + -1y2
X2 = 55 + 10x + -2y + -1y2

Simplifying
X2 = 55 + 10x + -2y + -1y2

Reorder the terms:
-55 + X2 + -10x + 2y + y2 = 55 + 10x + -2y + -1y2 + -55 + -10x + 2y + y2

Reorder the terms:
-55 + X2 + -10x + 2y + y2 = 55 + -55 + 10x + -10x + -2y + 2y + -1y2 + y2

Combine like terms: 55 + -55 = 0
-55 + X2 + -10x + 2y + y2 = 0 + 10x + -10x + -2y + 2y + -1y2 + y2
-55 + X2 + -10x + 2y + y2 = 10x + -10x + -2y + 2y + -1y2 + y2

Combine like terms: 10x + -10x = 0
-55 + X2 + -10x + 2y + y2 = 0 + -2y + 2y + -1y2 + y2
-55 + X2 + -10x + 2y + y2 = -2y + 2y + -1y2 + y2

Combine like terms: -2y + 2y = 0
-55 + X2 + -10x + 2y + y2 = 0 + -1y2 + y2
-55 + X2 + -10x + 2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-55 + X2 + -10x + 2y + y2 = 0

The solution to this equation could not be determined.

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