Y^2+3xy-x^2=y+2

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Solution for Y^2+3xy-x^2=y+2 equation:


Simplifying
Y2 + 3xy + -1x2 = y + 2

Reorder the terms:
Y2 + 3xy + -1x2 = 2 + y

Solving
Y2 + 3xy + -1x2 = 2 + y

Solving for variable 'Y'.

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

Add '-3xy' to each side of the equation.
Y2 + 3xy + -3xy + -1x2 = 2 + -3xy + y

Combine like terms: 3xy + -3xy = 0
Y2 + 0 + -1x2 = 2 + -3xy + y
Y2 + -1x2 = 2 + -3xy + y

Add 'x2' to each side of the equation.
Y2 + -1x2 + x2 = 2 + -3xy + x2 + y

Combine like terms: -1x2 + x2 = 0
Y2 + 0 = 2 + -3xy + x2 + y
Y2 = 2 + -3xy + x2 + y

Simplifying
Y2 = 2 + -3xy + x2 + y

Reorder the terms:
-2 + Y2 + 3xy + -1x2 + -1y = 2 + -3xy + x2 + y + -2 + 3xy + -1x2 + -1y

Reorder the terms:
-2 + Y2 + 3xy + -1x2 + -1y = 2 + -2 + -3xy + 3xy + x2 + -1x2 + y + -1y

Combine like terms: 2 + -2 = 0
-2 + Y2 + 3xy + -1x2 + -1y = 0 + -3xy + 3xy + x2 + -1x2 + y + -1y
-2 + Y2 + 3xy + -1x2 + -1y = -3xy + 3xy + x2 + -1x2 + y + -1y

Combine like terms: -3xy + 3xy = 0
-2 + Y2 + 3xy + -1x2 + -1y = 0 + x2 + -1x2 + y + -1y
-2 + Y2 + 3xy + -1x2 + -1y = x2 + -1x2 + y + -1y

Combine like terms: x2 + -1x2 = 0
-2 + Y2 + 3xy + -1x2 + -1y = 0 + y + -1y
-2 + Y2 + 3xy + -1x2 + -1y = y + -1y

Combine like terms: y + -1y = 0
-2 + Y2 + 3xy + -1x2 + -1y = 0

The solution to this equation could not be determined.

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