4x+3y+20=x^2+y^2-4x-2y-164

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Solution for 4x+3y+20=x^2+y^2-4x-2y-164 equation: 


Simplifying
4x + 3y + 20 = x2 + y2 + -4x + -2y + -164

Reorder the terms:
20 + 4x + 3y = x2 + y2 + -4x + -2y + -164

Reorder the terms:
20 + 4x + 3y = -164 + -4x + x2 + -2y + y2

Solving
20 + 4x + 3y = -164 + -4x + x2 + -2y + y2

Solving for variable 'x'.

Reorder the terms:
20 + 164 + 4x + 4x + -1x2 + 3y + 2y + -1y2 = -164 + -4x + x2 + -2y + y2 + 164 + 4x + -1x2 + 2y + -1y2

Combine like terms: 20 + 164 = 184
184 + 4x + 4x + -1x2 + 3y + 2y + -1y2 = -164 + -4x + x2 + -2y + y2 + 164 + 4x + -1x2 + 2y + -1y2

Combine like terms: 4x + 4x = 8x
184 + 8x + -1x2 + 3y + 2y + -1y2 = -164 + -4x + x2 + -2y + y2 + 164 + 4x + -1x2 + 2y + -1y2

Combine like terms: 3y + 2y = 5y
184 + 8x + -1x2 + 5y + -1y2 = -164 + -4x + x2 + -2y + y2 + 164 + 4x + -1x2 + 2y + -1y2

Reorder the terms:
184 + 8x + -1x2 + 5y + -1y2 = -164 + 164 + -4x + 4x + x2 + -1x2 + -2y + 2y + y2 + -1y2

Combine like terms: -164 + 164 = 0
184 + 8x + -1x2 + 5y + -1y2 = 0 + -4x + 4x + x2 + -1x2 + -2y + 2y + y2 + -1y2
184 + 8x + -1x2 + 5y + -1y2 = -4x + 4x + x2 + -1x2 + -2y + 2y + y2 + -1y2

Combine like terms: -4x + 4x = 0
184 + 8x + -1x2 + 5y + -1y2 = 0 + x2 + -1x2 + -2y + 2y + y2 + -1y2
184 + 8x + -1x2 + 5y + -1y2 = x2 + -1x2 + -2y + 2y + y2 + -1y2

Combine like terms: x2 + -1x2 = 0
184 + 8x + -1x2 + 5y + -1y2 = 0 + -2y + 2y + y2 + -1y2
184 + 8x + -1x2 + 5y + -1y2 = -2y + 2y + y2 + -1y2

Combine like terms: -2y + 2y = 0
184 + 8x + -1x2 + 5y + -1y2 = 0 + y2 + -1y2
184 + 8x + -1x2 + 5y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
184 + 8x + -1x2 + 5y + -1y2 = 0

The solution to this equation could not be determined.

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