(x^2-3xy+y^2)(2x-3y+2)=0

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Solution for (x^2-3xy+y^2)(2x-3y+2)=0 equation: 


Simplifying
(x2 + -3xy + y2)(2x + -3y + 2) = 0

Reorder the terms:
(-3xy + x2 + y2)(2x + -3y + 2) = 0

Reorder the terms:
(-3xy + x2 + y2)(2 + 2x + -3y) = 0

Multiply (-3xy + x2 + y2) * (2 + 2x + -3y)
(-3xy * (2 + 2x + -3y) + x2(2 + 2x + -3y) + y2(2 + 2x + -3y)) = 0
((2 * -3xy + 2x * -3xy + -3y * -3xy) + x2(2 + 2x + -3y) + y2(2 + 2x + -3y)) = 0

Reorder the terms:
((-6xy + 9xy2 + -6x2y) + x2(2 + 2x + -3y) + y2(2 + 2x + -3y)) = 0
((-6xy + 9xy2 + -6x2y) + x2(2 + 2x + -3y) + y2(2 + 2x + -3y)) = 0
(-6xy + 9xy2 + -6x2y + (2 * x2 + 2x * x2 + -3y * x2) + y2(2 + 2x + -3y)) = 0

Reorder the terms:
(-6xy + 9xy2 + -6x2y + (2x2 + -3x2y + 2x3) + y2(2 + 2x + -3y)) = 0
(-6xy + 9xy2 + -6x2y + (2x2 + -3x2y + 2x3) + y2(2 + 2x + -3y)) = 0
(-6xy + 9xy2 + -6x2y + 2x2 + -3x2y + 2x3 + (2 * y2 + 2x * y2 + -3y * y2)) = 0

Reorder the terms:
(-6xy + 9xy2 + -6x2y + 2x2 + -3x2y + 2x3 + (2xy2 + 2y2 + -3y3)) = 0
(-6xy + 9xy2 + -6x2y + 2x2 + -3x2y + 2x3 + (2xy2 + 2y2 + -3y3)) = 0

Reorder the terms:
(-6xy + 9xy2 + 2xy2 + 2x2 + -6x2y + -3x2y + 2x3 + 2y2 + -3y3) = 0

Combine like terms: 9xy2 + 2xy2 = 11xy2
(-6xy + 11xy2 + 2x2 + -6x2y + -3x2y + 2x3 + 2y2 + -3y3) = 0

Combine like terms: -6x2y + -3x2y = -9x2y
(-6xy + 11xy2 + 2x2 + -9x2y + 2x3 + 2y2 + -3y3) = 0

Solving
-6xy + 11xy2 + 2x2 + -9x2y + 2x3 + 2y2 + -3y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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