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

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


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

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

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

Multiply (2 + x + -1y) * (1 + 2x + -3y)
0 = (2(1 + 2x + -3y) + x(1 + 2x + -3y) + -1y * (1 + 2x + -3y))
0 = ((1 * 2 + 2x * 2 + -3y * 2) + x(1 + 2x + -3y) + -1y * (1 + 2x + -3y))
0 = ((2 + 4x + -6y) + x(1 + 2x + -3y) + -1y * (1 + 2x + -3y))
0 = (2 + 4x + -6y + (1 * x + 2x * x + -3y * x) + -1y * (1 + 2x + -3y))

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

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

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

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

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

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

Solving
0 = 2 + 5x + -5xy + 2x2 + -7y + 3y2

Solving for variable 'x'.

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

Reorder the terms:
-2 + -5x + 5xy + -2x2 + 7y + -3y2 = 2 + -2 + 5x + -5x + -5xy + 5xy + 2x2 + -2x2 + -7y + 7y + 3y2 + -3y2

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

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

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

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

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

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

The solution to this equation could not be determined.

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