Y^2+x^2-2y+8x-83=0

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Solution for Y^2+x^2-2y+8x-83=0 equation:


Simplifying
Y2 + x2 + -2y + 8x + -83 = 0

Reorder the terms:
-83 + Y2 + 8x + x2 + -2y = 0

Solving
-83 + Y2 + 8x + x2 + -2y = 0

Solving for variable 'Y'.

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

Add '83' to each side of the equation.
-83 + Y2 + 8x + x2 + 83 + -2y = 0 + 83

Reorder the terms:
-83 + 83 + Y2 + 8x + x2 + -2y = 0 + 83

Combine like terms: -83 + 83 = 0
0 + Y2 + 8x + x2 + -2y = 0 + 83
Y2 + 8x + x2 + -2y = 0 + 83

Combine like terms: 0 + 83 = 83
Y2 + 8x + x2 + -2y = 83

Add '-8x' to each side of the equation.
Y2 + 8x + x2 + -8x + -2y = 83 + -8x

Reorder the terms:
Y2 + 8x + -8x + x2 + -2y = 83 + -8x

Combine like terms: 8x + -8x = 0
Y2 + 0 + x2 + -2y = 83 + -8x
Y2 + x2 + -2y = 83 + -8x

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + -2y = 83 + -8x + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + -2y = 83 + -8x + -1x2
Y2 + -2y = 83 + -8x + -1x2

Add '2y' to each side of the equation.
Y2 + -2y + 2y = 83 + -8x + -1x2 + 2y

Combine like terms: -2y + 2y = 0
Y2 + 0 = 83 + -8x + -1x2 + 2y
Y2 = 83 + -8x + -1x2 + 2y

Simplifying
Y2 = 83 + -8x + -1x2 + 2y

Reorder the terms:
-83 + Y2 + 8x + x2 + -2y = 83 + -8x + -1x2 + 2y + -83 + 8x + x2 + -2y

Reorder the terms:
-83 + Y2 + 8x + x2 + -2y = 83 + -83 + -8x + 8x + -1x2 + x2 + 2y + -2y

Combine like terms: 83 + -83 = 0
-83 + Y2 + 8x + x2 + -2y = 0 + -8x + 8x + -1x2 + x2 + 2y + -2y
-83 + Y2 + 8x + x2 + -2y = -8x + 8x + -1x2 + x2 + 2y + -2y

Combine like terms: -8x + 8x = 0
-83 + Y2 + 8x + x2 + -2y = 0 + -1x2 + x2 + 2y + -2y
-83 + Y2 + 8x + x2 + -2y = -1x2 + x2 + 2y + -2y

Combine like terms: -1x2 + x2 = 0
-83 + Y2 + 8x + x2 + -2y = 0 + 2y + -2y
-83 + Y2 + 8x + x2 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-83 + Y2 + 8x + x2 + -2y = 0

The solution to this equation could not be determined.

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