Y^2-x^2-6y+8x+5=0

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Solution for Y^2-x^2-6y+8x+5=0 equation: 


Simplifying
Y2 + -1x2 + -6y + 8x + 5 = 0

Reorder the terms:
5 + Y2 + 8x + -1x2 + -6y = 0

Solving
5 + Y2 + 8x + -1x2 + -6y = 0

Solving for variable 'Y'.

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

Add '-5' to each side of the equation.
5 + Y2 + 8x + -1x2 + -5 + -6y = 0 + -5

Reorder the terms:
5 + -5 + Y2 + 8x + -1x2 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + Y2 + 8x + -1x2 + -6y = 0 + -5
Y2 + 8x + -1x2 + -6y = 0 + -5

Combine like terms: 0 + -5 = -5
Y2 + 8x + -1x2 + -6y = -5

Add '-8x' to each side of the equation.
Y2 + 8x + -1x2 + -8x + -6y = -5 + -8x

Reorder the terms:
Y2 + 8x + -8x + -1x2 + -6y = -5 + -8x

Combine like terms: 8x + -8x = 0
Y2 + 0 + -1x2 + -6y = -5 + -8x
Y2 + -1x2 + -6y = -5 + -8x

Add 'x2' to each side of the equation.
Y2 + -1x2 + x2 + -6y = -5 + -8x + x2

Combine like terms: -1x2 + x2 = 0
Y2 + 0 + -6y = -5 + -8x + x2
Y2 + -6y = -5 + -8x + x2

Add '6y' to each side of the equation.
Y2 + -6y + 6y = -5 + -8x + x2 + 6y

Combine like terms: -6y + 6y = 0
Y2 + 0 = -5 + -8x + x2 + 6y
Y2 = -5 + -8x + x2 + 6y

Simplifying
Y2 = -5 + -8x + x2 + 6y

Reorder the terms:
5 + Y2 + 8x + -1x2 + -6y = -5 + -8x + x2 + 6y + 5 + 8x + -1x2 + -6y

Reorder the terms:
5 + Y2 + 8x + -1x2 + -6y = -5 + 5 + -8x + 8x + x2 + -1x2 + 6y + -6y

Combine like terms: -5 + 5 = 0
5 + Y2 + 8x + -1x2 + -6y = 0 + -8x + 8x + x2 + -1x2 + 6y + -6y
5 + Y2 + 8x + -1x2 + -6y = -8x + 8x + x2 + -1x2 + 6y + -6y

Combine like terms: -8x + 8x = 0
5 + Y2 + 8x + -1x2 + -6y = 0 + x2 + -1x2 + 6y + -6y
5 + Y2 + 8x + -1x2 + -6y = x2 + -1x2 + 6y + -6y

Combine like terms: x2 + -1x2 = 0
5 + Y2 + 8x + -1x2 + -6y = 0 + 6y + -6y
5 + Y2 + 8x + -1x2 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
5 + Y2 + 8x + -1x2 + -6y = 0

The solution to this equation could not be determined.

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