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

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


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

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

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

Multiply (2 + x + y) * (-1 + 2x + -1y)
(2(-1 + 2x + -1y) + x(-1 + 2x + -1y) + y(-1 + 2x + -1y)) + -1(x + 2)(y + -3) = 0
((-1 * 2 + 2x * 2 + -1y * 2) + x(-1 + 2x + -1y) + y(-1 + 2x + -1y)) + -1(x + 2)(y + -3) = 0
((-2 + 4x + -2y) + x(-1 + 2x + -1y) + y(-1 + 2x + -1y)) + -1(x + 2)(y + -3) = 0
(-2 + 4x + -2y + (-1 * x + 2x * x + -1y * x) + y(-1 + 2x + -1y)) + -1(x + 2)(y + -3) = 0

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

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

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

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

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

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

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

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

Multiply (2 + x) * (-3 + y)
-2 + 3x + 1xy + 2x2 + -3y + -1y2 + -1(2(-3 + y) + x(-3 + y)) = 0
-2 + 3x + 1xy + 2x2 + -3y + -1y2 + -1((-3 * 2 + y * 2) + x(-3 + y)) = 0
-2 + 3x + 1xy + 2x2 + -3y + -1y2 + -1((-6 + 2y) + x(-3 + y)) = 0
-2 + 3x + 1xy + 2x2 + -3y + -1y2 + -1(-6 + 2y + (-3 * x + y * x)) = 0
-2 + 3x + 1xy + 2x2 + -3y + -1y2 + -1(-6 + 2y + (-3x + xy)) = 0

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

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

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

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

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

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

Solving
4 + 6x + 2x2 + -5y + -1y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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