(-x^2+y^2-6x-2y-57)(-x^2+2y^2-6x+10y-21)=0

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Solution for (-x^2+y^2-6x-2y-57)(-x^2+2y^2-6x+10y-21)=0 equation:

Simplifying
(-1x² + y² + -6x + -2y + -57)(-1x² + 2y² + -6x + 10y + -21) = 0

Reorder the terms:
(-57 + -6x + -1x² + -2y + y²)(-1x² + 2y² + -6x + 10y + -21) = 0

Reorder the terms:
(-57 + -6x + -1x² + -2y + y²)(-21 + -6x + -1x² + 10y + 2y²) = 0

Multiply (-57 + -6x + -1x² + -2y + y²) * (-21 + -6x + -1x² + 10y + 2y²)
(-57(-21 + -6x + -1x² + 10y + 2y²) + -6x * (-21 + -6x + -1x² + 10y + 2y²) + -1x² * (-21 + -6x + -1x² + 10y + 2y²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
((-21 * -57 + -6x * -57 + -1x² * -57 + 10y * -57 + 2y² * -57) + -6x * (-21 + -6x + -1x² + 10y + 2y²) + -1x² * (-21 + -6x + -1x² + 10y + 2y²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
((1197 + 342x + 57x² + -570y + -114y²) + -6x * (-21 + -6x + -1x² + 10y + 2y²) + -1x² * (-21 + -6x + -1x² + 10y + 2y²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + (-21 * -6x + -6x * -6x + -1x² * -6x + 10y * -6x + 2y² * -6x) + -1x² * (-21 + -6x + -1x² + 10y + 2y²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0

Reorder the terms:
(1197 + 342x + 57x² + -570y + -114y² + (126x + -60xy + -12xy² + 36x² + 6x³) + -1x² * (-21 + -6x + -1x² + 10y + 2y²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + (126x + -60xy + -12xy² + 36x² + 6x³) + -1x² * (-21 + -6x + -1x² + 10y + 2y²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + (-21 * -1x² + -6x * -1x² + -1x² * -1x² + 10y * -1x² + 2y² * -1x²) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0

Reorder the terms:
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + (21x² + -10x²y + -2x²y² + 6x³ + 1x⁴) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + (21x² + -10x²y + -2x²y² + 6x³ + 1x⁴) + -2y * (-21 + -6x + -1x² + 10y + 2y²) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + 21x² + -10x²y + -2x²y² + 6x³ + 1x⁴ + (-21 * -2y + -6x * -2y + -1x² * -2y + 10y * -2y + 2y² * -2y) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0

Reorder the terms:
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + 21x² + -10x²y + -2x²y² + 6x³ + 1x⁴ + (12xy + 2x²y + 42y + -20y² + -4y³) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + 21x² + -10x²y + -2x²y² + 6x³ + 1x⁴ + (12xy + 2x²y + 42y + -20y² + -4y³) + y²(-21 + -6x + -1x² + 10y + 2y²)) = 0
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + 21x² + -10x²y + -2x²y² + 6x³ + 1x⁴ + 12xy + 2x²y + 42y + -20y² + -4y³ + (-21 * y² + -6x * y² + -1x² * y² + 10y * y² + 2y² * y²)) = 0

Reorder the terms:
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + 21x² + -10x²y + -2x²y² + 6x³ + 1x⁴ + 12xy + 2x²y + 42y + -20y² + -4y³ + (-6xy² + -1x²y² + -21y² + 10y³ + 2y⁴)) = 0
(1197 + 342x + 57x² + -570y + -114y² + 126x + -60xy + -12xy² + 36x² + 6x³ + 21x² + -10x²y + -2x²y² + 6x³ + 1x⁴ + 12xy + 2x²y + 42y + -20y² + -4y³ + (-6xy² + -1x²y² + -21y² + 10y³ + 2y⁴)) = 0

Reorder the terms:
(1197 + 342x + 126x + -60xy + 12xy + -12xy² + -6xy² + 57x² + 36x² + 21x² + -10x²y + 2x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: 342x + 126x = 468x
(1197 + 468x + -60xy + 12xy + -12xy² + -6xy² + 57x² + 36x² + 21x² + -10x²y + 2x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -60xy + 12xy = -48xy
(1197 + 468x + -48xy + -12xy² + -6xy² + 57x² + 36x² + 21x² + -10x²y + 2x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -12xy² + -6xy² = -18xy²
(1197 + 468x + -48xy + -18xy² + 57x² + 36x² + 21x² + -10x²y + 2x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: 57x² + 36x² = 93x²
(1197 + 468x + -48xy + -18xy² + 93x² + 21x² + -10x²y + 2x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: 93x² + 21x² = 114x²
(1197 + 468x + -48xy + -18xy² + 114x² + -10x²y + 2x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -10x²y + 2x²y = -8x²y
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -2x²y² + -1x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -2x²y² + -1x²y² = -3x²y²
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 6x³ + 6x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: 6x³ + 6x³ = 12x³
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 12x³ + 1x⁴ + -570y + 42y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -570y + 42y = -528y
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 12x³ + 1x⁴ + -528y + -114y² + -20y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -114y² + -20y² = -134y²
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 12x³ + 1x⁴ + -528y + -134y² + -21y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -134y² + -21y² = -155y²
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 12x³ + 1x⁴ + -528y + -155y² + -4y³ + 10y³ + 2y⁴) = 0

Combine like terms: -4y³ + 10y³ = 6y³
(1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 12x³ + 1x⁴ + -528y + -155y² + 6y³ + 2y⁴) = 0

Solving
1197 + 468x + -48xy + -18xy² + 114x² + -8x²y + -3x²y² + 12x³ + 1x⁴ + -528y + -155y² + 6y³ + 2y⁴ = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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(-x^2+y^2-6x-2y-57)(-x^2+2y^2-6x+10y-21)=0

Simple and best practice solution for (-x^2+y^2-6x-2y-57)(-x^2+2y^2-6x+10y-21)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (-x^2+y^2-6x-2y-57)(-x^2+2y^2-6x+10y-21)=0 equation:

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