(x-3y)2+3(x+y)(x-2y)+x(2x+2y+2)=

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


Simplifying
(x + -3y) * 2 + 3(x + y)(x + -2y) + x(2x + 2y + 2) = 0

Reorder the terms for easier multiplication:
2(x + -3y) + 3(x + y)(x + -2y) + x(2x + 2y + 2) = 0
(x * 2 + -3y * 2) + 3(x + y)(x + -2y) + x(2x + 2y + 2) = 0
(2x + -6y) + 3(x + y)(x + -2y) + x(2x + 2y + 2) = 0

Multiply (x + y) * (x + -2y)
2x + -6y + 3(x(x + -2y) + y(x + -2y)) + x(2x + 2y + 2) = 0
2x + -6y + 3((x * x + -2y * x) + y(x + -2y)) + x(2x + 2y + 2) = 0

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

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

Combine like terms: -2xy + xy = -1xy
2x + -6y + 3(-1xy + x2 + -2y2) + x(2x + 2y + 2) = 0
2x + -6y + (-1xy * 3 + x2 * 3 + -2y2 * 3) + x(2x + 2y + 2) = 0
2x + -6y + (-3xy + 3x2 + -6y2) + x(2x + 2y + 2) = 0

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

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

Reorder the terms:
2x + 2x + -3xy + 2xy + 3x2 + 2x2 + -6y + -6y2 = 0

Combine like terms: 2x + 2x = 4x
4x + -3xy + 2xy + 3x2 + 2x2 + -6y + -6y2 = 0

Combine like terms: -3xy + 2xy = -1xy
4x + -1xy + 3x2 + 2x2 + -6y + -6y2 = 0

Combine like terms: 3x2 + 2x2 = 5x2
4x + -1xy + 5x2 + -6y + -6y2 = 0

Solving
4x + -1xy + 5x2 + -6y + -6y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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