X^2+y^2+2x-4y-11=10

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Solution for X^2+y^2+2x-4y-11=10 equation:


Simplifying
X2 + y2 + 2x + -4y + -11 = 10

Reorder the terms:
-11 + X2 + 2x + -4y + y2 = 10

Solving
-11 + X2 + 2x + -4y + y2 = 10

Solving for variable 'X'.

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

Add '11' to each side of the equation.
-11 + X2 + 2x + -4y + 11 + y2 = 10 + 11

Reorder the terms:
-11 + 11 + X2 + 2x + -4y + y2 = 10 + 11

Combine like terms: -11 + 11 = 0
0 + X2 + 2x + -4y + y2 = 10 + 11
X2 + 2x + -4y + y2 = 10 + 11

Combine like terms: 10 + 11 = 21
X2 + 2x + -4y + y2 = 21

Add '-2x' to each side of the equation.
X2 + 2x + -4y + -2x + y2 = 21 + -2x

Reorder the terms:
X2 + 2x + -2x + -4y + y2 = 21 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -4y + y2 = 21 + -2x
X2 + -4y + y2 = 21 + -2x

Add '4y' to each side of the equation.
X2 + -4y + 4y + y2 = 21 + -2x + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + y2 = 21 + -2x + 4y
X2 + y2 = 21 + -2x + 4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 21 + -2x + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 21 + -2x + 4y + -1y2
X2 = 21 + -2x + 4y + -1y2

Simplifying
X2 = 21 + -2x + 4y + -1y2

Reorder the terms:
-21 + X2 + 2x + -4y + y2 = 21 + -2x + 4y + -1y2 + -21 + 2x + -4y + y2

Reorder the terms:
-21 + X2 + 2x + -4y + y2 = 21 + -21 + -2x + 2x + 4y + -4y + -1y2 + y2

Combine like terms: 21 + -21 = 0
-21 + X2 + 2x + -4y + y2 = 0 + -2x + 2x + 4y + -4y + -1y2 + y2
-21 + X2 + 2x + -4y + y2 = -2x + 2x + 4y + -4y + -1y2 + y2

Combine like terms: -2x + 2x = 0
-21 + X2 + 2x + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-21 + X2 + 2x + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-21 + X2 + 2x + -4y + y2 = 0 + -1y2 + y2
-21 + X2 + 2x + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-21 + X2 + 2x + -4y + y2 = 0

The solution to this equation could not be determined.

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