(x+2y+3)(2x-y-1)(x+y)=

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Solution for (x+2y+3)(2x-y-1)(x+y)= equation: 


Simplifying
(x + 2y + 3)(2x + -1y + -1)(x + y) = 0

Reorder the terms:
(3 + x + 2y)(2x + -1y + -1)(x + y) = 0

Reorder the terms:
(3 + x + 2y)(-1 + 2x + -1y)(x + y) = 0

Multiply (3 + x + 2y) * (-1 + 2x + -1y)
(3(-1 + 2x + -1y) + x(-1 + 2x + -1y) + 2y * (-1 + 2x + -1y))(x + y) = 0
((-1 * 3 + 2x * 3 + -1y * 3) + x(-1 + 2x + -1y) + 2y * (-1 + 2x + -1y))(x + y) = 0
((-3 + 6x + -3y) + x(-1 + 2x + -1y) + 2y * (-1 + 2x + -1y))(x + y) = 0
(-3 + 6x + -3y + (-1 * x + 2x * x + -1y * x) + 2y * (-1 + 2x + -1y))(x + y) = 0

Reorder the terms:
(-3 + 6x + -3y + (-1x + -1xy + 2x2) + 2y * (-1 + 2x + -1y))(x + y) = 0
(-3 + 6x + -3y + (-1x + -1xy + 2x2) + 2y * (-1 + 2x + -1y))(x + y) = 0
(-3 + 6x + -3y + -1x + -1xy + 2x2 + (-1 * 2y + 2x * 2y + -1y * 2y))(x + y) = 0

Reorder the terms:
(-3 + 6x + -3y + -1x + -1xy + 2x2 + (4xy + -2y + -2y2))(x + y) = 0
(-3 + 6x + -3y + -1x + -1xy + 2x2 + (4xy + -2y + -2y2))(x + y) = 0

Reorder the terms:
(-3 + 6x + -1x + -1xy + 4xy + 2x2 + -3y + -2y + -2y2)(x + y) = 0

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

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

Combine like terms: -3y + -2y = -5y
(-3 + 5x + 3xy + 2x2 + -5y + -2y2)(x + y) = 0

Multiply (-3 + 5x + 3xy + 2x2 + -5y + -2y2) * (x + y)
(-3(x + y) + 5x * (x + y) + 3xy * (x + y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
((x * -3 + y * -3) + 5x * (x + y) + 3xy * (x + y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
((-3x + -3y) + 5x * (x + y) + 3xy * (x + y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + (x * 5x + y * 5x) + 3xy * (x + y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0

Reorder the terms:
(-3x + -3y + (5xy + 5x2) + 3xy * (x + y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + (5xy + 5x2) + 3xy * (x + y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + (x * 3xy + y * 3xy) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0

Reorder the terms:
(-3x + -3y + 5xy + 5x2 + (3xy2 + 3x2y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + (3xy2 + 3x2y) + 2x2 * (x + y) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + (x * 2x2 + y * 2x2) + -5y * (x + y) + -2y2 * (x + y)) = 0

Reorder the terms:
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + (2x2y + 2x3) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + (2x2y + 2x3) + -5y * (x + y) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + 2x2y + 2x3 + (x * -5y + y * -5y) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + 2x2y + 2x3 + (-5xy + -5y2) + -2y2 * (x + y)) = 0
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + 2x2y + 2x3 + -5xy + -5y2 + (x * -2y2 + y * -2y2)) = 0
(-3x + -3y + 5xy + 5x2 + 3xy2 + 3x2y + 2x2y + 2x3 + -5xy + -5y2 + (-2xy2 + -2y3)) = 0

Reorder the terms:
(-3x + 5xy + -5xy + 3xy2 + -2xy2 + 5x2 + 3x2y + 2x2y + 2x3 + -3y + -5y2 + -2y3) = 0

Combine like terms: 5xy + -5xy = 0
(-3x + 0 + 3xy2 + -2xy2 + 5x2 + 3x2y + 2x2y + 2x3 + -3y + -5y2 + -2y3) = 0
(-3x + 3xy2 + -2xy2 + 5x2 + 3x2y + 2x2y + 2x3 + -3y + -5y2 + -2y3) = 0

Combine like terms: 3xy2 + -2xy2 = 1xy2
(-3x + 1xy2 + 5x2 + 3x2y + 2x2y + 2x3 + -3y + -5y2 + -2y3) = 0

Combine like terms: 3x2y + 2x2y = 5x2y
(-3x + 1xy2 + 5x2 + 5x2y + 2x3 + -3y + -5y2 + -2y3) = 0

Solving
-3x + 1xy2 + 5x2 + 5x2y + 2x3 + -3y + -5y2 + -2y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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