X^2+20-y^2-9x-4y+21-8x+6y=3-4y-5x-2y^2

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Solution for X^2+20-y^2-9x-4y+21-8x+6y=3-4y-5x-2y^2 equation:


Simplifying
X2 + 20 + -1y2 + -9x + -4y + 21 + -8x + 6y = 3 + -4y + -5x + -2y2

Reorder the terms:
20 + 21 + X2 + -9x + -8x + -4y + 6y + -1y2 = 3 + -4y + -5x + -2y2

Combine like terms: 20 + 21 = 41
41 + X2 + -9x + -8x + -4y + 6y + -1y2 = 3 + -4y + -5x + -2y2

Combine like terms: -9x + -8x = -17x
41 + X2 + -17x + -4y + 6y + -1y2 = 3 + -4y + -5x + -2y2

Combine like terms: -4y + 6y = 2y
41 + X2 + -17x + 2y + -1y2 = 3 + -4y + -5x + -2y2

Reorder the terms:
41 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -2y2

Solving
41 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -2y2

Solving for variable 'X'.

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

Add '-41' to each side of the equation.
41 + X2 + -17x + 2y + -41 + -1y2 = 3 + -5x + -4y + -41 + -2y2

Reorder the terms:
41 + -41 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -41 + -2y2

Combine like terms: 41 + -41 = 0
0 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -41 + -2y2
X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -41 + -2y2

Reorder the terms:
X2 + -17x + 2y + -1y2 = 3 + -41 + -5x + -4y + -2y2

Combine like terms: 3 + -41 = -38
X2 + -17x + 2y + -1y2 = -38 + -5x + -4y + -2y2

Add '17x' to each side of the equation.
X2 + -17x + 2y + 17x + -1y2 = -38 + -5x + -4y + 17x + -2y2

Reorder the terms:
X2 + -17x + 17x + 2y + -1y2 = -38 + -5x + -4y + 17x + -2y2

Combine like terms: -17x + 17x = 0
X2 + 0 + 2y + -1y2 = -38 + -5x + -4y + 17x + -2y2
X2 + 2y + -1y2 = -38 + -5x + -4y + 17x + -2y2

Reorder the terms:
X2 + 2y + -1y2 = -38 + -5x + 17x + -4y + -2y2

Combine like terms: -5x + 17x = 12x
X2 + 2y + -1y2 = -38 + 12x + -4y + -2y2

Add '-2y' to each side of the equation.
X2 + 2y + -2y + -1y2 = -38 + 12x + -4y + -2y + -2y2

Combine like terms: 2y + -2y = 0
X2 + 0 + -1y2 = -38 + 12x + -4y + -2y + -2y2
X2 + -1y2 = -38 + 12x + -4y + -2y + -2y2

Combine like terms: -4y + -2y = -6y
X2 + -1y2 = -38 + 12x + -6y + -2y2

Add 'y2' to each side of the equation.
X2 + -1y2 + y2 = -38 + 12x + -6y + -2y2 + y2

Combine like terms: -1y2 + y2 = 0
X2 + 0 = -38 + 12x + -6y + -2y2 + y2
X2 = -38 + 12x + -6y + -2y2 + y2

Combine like terms: -2y2 + y2 = -1y2
X2 = -38 + 12x + -6y + -1y2

Simplifying
X2 = -38 + 12x + -6y + -1y2

Reorder the terms:
38 + X2 + -12x + 6y + y2 = -38 + 12x + -6y + -1y2 + 38 + -12x + 6y + y2

Reorder the terms:
38 + X2 + -12x + 6y + y2 = -38 + 38 + 12x + -12x + -6y + 6y + -1y2 + y2

Combine like terms: -38 + 38 = 0
38 + X2 + -12x + 6y + y2 = 0 + 12x + -12x + -6y + 6y + -1y2 + y2
38 + X2 + -12x + 6y + y2 = 12x + -12x + -6y + 6y + -1y2 + y2

Combine like terms: 12x + -12x = 0
38 + X2 + -12x + 6y + y2 = 0 + -6y + 6y + -1y2 + y2
38 + X2 + -12x + 6y + y2 = -6y + 6y + -1y2 + y2

Combine like terms: -6y + 6y = 0
38 + X2 + -12x + 6y + y2 = 0 + -1y2 + y2
38 + X2 + -12x + 6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
38 + X2 + -12x + 6y + y2 = 0

The solution to this equation could not be determined.

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