y^2+2xy-6x-9y+18=0

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Solution for y^2+2xy-6x-9y+18=0 equation:


Simplifying
y2 + 2xy + -6x + -9y + 18 = 0

Reorder the terms:
18 + -6x + 2xy + -9y + y2 = 0

Solving
18 + -6x + 2xy + -9y + y2 = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -6x + 2xy + -9y + -18 + y2 = 0 + -18

Reorder the terms:
18 + -18 + -6x + 2xy + -9y + y2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -6x + 2xy + -9y + y2 = 0 + -18
-6x + 2xy + -9y + y2 = 0 + -18

Combine like terms: 0 + -18 = -18
-6x + 2xy + -9y + y2 = -18

Add '9y' to each side of the equation.
-6x + 2xy + -9y + 9y + y2 = -18 + 9y

Combine like terms: -9y + 9y = 0
-6x + 2xy + 0 + y2 = -18 + 9y
-6x + 2xy + y2 = -18 + 9y

Add '-1y2' to each side of the equation.
-6x + 2xy + y2 + -1y2 = -18 + 9y + -1y2

Combine like terms: y2 + -1y2 = 0
-6x + 2xy + 0 = -18 + 9y + -1y2
-6x + 2xy = -18 + 9y + -1y2

Reorder the terms:
18 + -6x + 2xy + -9y + y2 = -18 + 9y + -1y2 + 18 + -9y + y2

Reorder the terms:
18 + -6x + 2xy + -9y + y2 = -18 + 18 + 9y + -9y + -1y2 + y2

Combine like terms: -18 + 18 = 0
18 + -6x + 2xy + -9y + y2 = 0 + 9y + -9y + -1y2 + y2
18 + -6x + 2xy + -9y + y2 = 9y + -9y + -1y2 + y2

Combine like terms: 9y + -9y = 0
18 + -6x + 2xy + -9y + y2 = 0 + -1y2 + y2
18 + -6x + 2xy + -9y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
18 + -6x + 2xy + -9y + y2 = 0

The solution to this equation could not be determined.

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