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

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


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

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

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

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

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

Reorder the terms:
5xy + 2x2 + 3y2 + -1(x + y)(1 + x) = 0

Multiply (x + y) * (1 + x)
5xy + 2x2 + 3y2 + -1(x(1 + x) + y(1 + x)) = 0
5xy + 2x2 + 3y2 + -1((1 * x + x * x) + y(1 + x)) = 0
5xy + 2x2 + 3y2 + -1((1x + x2) + y(1 + x)) = 0
5xy + 2x2 + 3y2 + -1(1x + x2 + (1 * y + x * y)) = 0

Reorder the terms:
5xy + 2x2 + 3y2 + -1(1x + x2 + (xy + 1y)) = 0
5xy + 2x2 + 3y2 + -1(1x + x2 + (xy + 1y)) = 0

Reorder the terms:
5xy + 2x2 + 3y2 + -1(1x + xy + x2 + 1y) = 0
5xy + 2x2 + 3y2 + -1(1x + xy + x2 + 1y) = 0
5xy + 2x2 + 3y2 + (1x * -1 + xy * -1 + x2 * -1 + 1y * -1) = 0
5xy + 2x2 + 3y2 + (-1x + -1xy + -1x2 + -1y) = 0

Reorder the terms:
-1x + 5xy + -1xy + 2x2 + -1x2 + -1y + 3y2 = 0

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

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

Solving
-1x + 4xy + 1x2 + -1y + 3y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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