(x-2y)(2x+3y+4)-(x+y)(3-2x-5y)=0

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Solution for (x-2y)(2x+3y+4)-(x+y)(3-2x-5y)=0 equation: 


Simplifying
(x + -2y)(2x + 3y + 4) + -1(x + y)(3 + -2x + -5y) = 0

Reorder the terms:
(x + -2y)(4 + 2x + 3y) + -1(x + y)(3 + -2x + -5y) = 0

Multiply (x + -2y) * (4 + 2x + 3y)
(x(4 + 2x + 3y) + -2y * (4 + 2x + 3y)) + -1(x + y)(3 + -2x + -5y) = 0
((4 * x + 2x * x + 3y * x) + -2y * (4 + 2x + 3y)) + -1(x + y)(3 + -2x + -5y) = 0

Reorder the terms:
((4x + 3xy + 2x2) + -2y * (4 + 2x + 3y)) + -1(x + y)(3 + -2x + -5y) = 0
((4x + 3xy + 2x2) + -2y * (4 + 2x + 3y)) + -1(x + y)(3 + -2x + -5y) = 0
(4x + 3xy + 2x2 + (4 * -2y + 2x * -2y + 3y * -2y)) + -1(x + y)(3 + -2x + -5y) = 0

Reorder the terms:
(4x + 3xy + 2x2 + (-4xy + -8y + -6y2)) + -1(x + y)(3 + -2x + -5y) = 0
(4x + 3xy + 2x2 + (-4xy + -8y + -6y2)) + -1(x + y)(3 + -2x + -5y) = 0

Reorder the terms:
(4x + 3xy + -4xy + 2x2 + -8y + -6y2) + -1(x + y)(3 + -2x + -5y) = 0

Combine like terms: 3xy + -4xy = -1xy
(4x + -1xy + 2x2 + -8y + -6y2) + -1(x + y)(3 + -2x + -5y) = 0

Multiply (x + y) * (3 + -2x + -5y)
4x + -1xy + 2x2 + -8y + -6y2 + -1(x(3 + -2x + -5y) + y(3 + -2x + -5y)) = 0
4x + -1xy + 2x2 + -8y + -6y2 + -1((3 * x + -2x * x + -5y * x) + y(3 + -2x + -5y)) = 0

Reorder the terms:
4x + -1xy + 2x2 + -8y + -6y2 + -1((3x + -5xy + -2x2) + y(3 + -2x + -5y)) = 0
4x + -1xy + 2x2 + -8y + -6y2 + -1((3x + -5xy + -2x2) + y(3 + -2x + -5y)) = 0
4x + -1xy + 2x2 + -8y + -6y2 + -1(3x + -5xy + -2x2 + (3 * y + -2x * y + -5y * y)) = 0

Reorder the terms:
4x + -1xy + 2x2 + -8y + -6y2 + -1(3x + -5xy + -2x2 + (-2xy + 3y + -5y2)) = 0
4x + -1xy + 2x2 + -8y + -6y2 + -1(3x + -5xy + -2x2 + (-2xy + 3y + -5y2)) = 0

Reorder the terms:
4x + -1xy + 2x2 + -8y + -6y2 + -1(3x + -5xy + -2xy + -2x2 + 3y + -5y2) = 0

Combine like terms: -5xy + -2xy = -7xy
4x + -1xy + 2x2 + -8y + -6y2 + -1(3x + -7xy + -2x2 + 3y + -5y2) = 0
4x + -1xy + 2x2 + -8y + -6y2 + (3x * -1 + -7xy * -1 + -2x2 * -1 + 3y * -1 + -5y2 * -1) = 0
4x + -1xy + 2x2 + -8y + -6y2 + (-3x + 7xy + 2x2 + -3y + 5y2) = 0

Reorder the terms:
4x + -3x + -1xy + 7xy + 2x2 + 2x2 + -8y + -3y + -6y2 + 5y2 = 0

Combine like terms: 4x + -3x = 1x
1x + -1xy + 7xy + 2x2 + 2x2 + -8y + -3y + -6y2 + 5y2 = 0

Combine like terms: -1xy + 7xy = 6xy
1x + 6xy + 2x2 + 2x2 + -8y + -3y + -6y2 + 5y2 = 0

Combine like terms: 2x2 + 2x2 = 4x2
1x + 6xy + 4x2 + -8y + -3y + -6y2 + 5y2 = 0

Combine like terms: -8y + -3y = -11y
1x + 6xy + 4x2 + -11y + -6y2 + 5y2 = 0

Combine like terms: -6y2 + 5y2 = -1y2
1x + 6xy + 4x2 + -11y + -1y2 = 0

Solving
1x + 6xy + 4x2 + -11y + -1y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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