(3x-4x+2y)*(2y+3y-2x)=-x+xy+10y

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Solution for (3x-4x+2y)*(2y+3y-2x)=-x+xy+10y equation: 


Simplifying
(3x + -4x + 2y)(2y + 3y + -2x) = -1x + xy + 10y

Combine like terms: 3x + -4x = -1x
(-1x + 2y)(2y + 3y + -2x) = -1x + xy + 10y

Reorder the terms:
(-1x + 2y)(-2x + 2y + 3y) = -1x + xy + 10y

Combine like terms: 2y + 3y = 5y
(-1x + 2y)(-2x + 5y) = -1x + xy + 10y

Multiply (-1x + 2y) * (-2x + 5y)
(-1x * (-2x + 5y) + 2y * (-2x + 5y)) = -1x + xy + 10y
((-2x * -1x + 5y * -1x) + 2y * (-2x + 5y)) = -1x + xy + 10y

Reorder the terms:
((-5xy + 2x2) + 2y * (-2x + 5y)) = -1x + xy + 10y
((-5xy + 2x2) + 2y * (-2x + 5y)) = -1x + xy + 10y
(-5xy + 2x2 + (-2x * 2y + 5y * 2y)) = -1x + xy + 10y
(-5xy + 2x2 + (-4xy + 10y2)) = -1x + xy + 10y

Reorder the terms:
(-5xy + -4xy + 2x2 + 10y2) = -1x + xy + 10y

Combine like terms: -5xy + -4xy = -9xy
(-9xy + 2x2 + 10y2) = -1x + xy + 10y

Solving
-9xy + 2x2 + 10y2 = -1x + xy + 10y

Solving for variable 'x'.

Reorder the terms:
x + -9xy + -1xy + 2x2 + -10y + 10y2 = -1x + xy + 10y + x + -1xy + -10y

Combine like terms: -9xy + -1xy = -10xy
x + -10xy + 2x2 + -10y + 10y2 = -1x + xy + 10y + x + -1xy + -10y

Reorder the terms:
x + -10xy + 2x2 + -10y + 10y2 = -1x + x + xy + -1xy + 10y + -10y

Combine like terms: -1x + x = 0
x + -10xy + 2x2 + -10y + 10y2 = 0 + xy + -1xy + 10y + -10y
x + -10xy + 2x2 + -10y + 10y2 = xy + -1xy + 10y + -10y

Combine like terms: xy + -1xy = 0
x + -10xy + 2x2 + -10y + 10y2 = 0 + 10y + -10y
x + -10xy + 2x2 + -10y + 10y2 = 10y + -10y

Combine like terms: 10y + -10y = 0
x + -10xy + 2x2 + -10y + 10y2 = 0

The solution to this equation could not be determined.

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