3(x+y)(x-y)-2y(x-1)=-9

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Solution for 3(x+y)(x-y)-2y(x-1)=-9 equation:


Simplifying
3(x + y)(x + -1y) + -2y(x + -1) = -9

Multiply (x + y) * (x + -1y)
3(x(x + -1y) + y(x + -1y)) + -2y(x + -1) = -9
3((x * x + -1y * x) + y(x + -1y)) + -2y(x + -1) = -9

Reorder the terms:
3((-1xy + x2) + y(x + -1y)) + -2y(x + -1) = -9
3((-1xy + x2) + y(x + -1y)) + -2y(x + -1) = -9
3(-1xy + x2 + (x * y + -1y * y)) + -2y(x + -1) = -9
3(-1xy + x2 + (xy + -1y2)) + -2y(x + -1) = -9

Reorder the terms:
3(-1xy + xy + x2 + -1y2) + -2y(x + -1) = -9

Combine like terms: -1xy + xy = 0
3(0 + x2 + -1y2) + -2y(x + -1) = -9
3(x2 + -1y2) + -2y(x + -1) = -9
(x2 * 3 + -1y2 * 3) + -2y(x + -1) = -9
(3x2 + -3y2) + -2y(x + -1) = -9

Reorder the terms:
3x2 + -3y2 + -2y(-1 + x) = -9
3x2 + -3y2 + (-1 * -2y + x * -2y) = -9

Reorder the terms:
3x2 + -3y2 + (-2xy + 2y) = -9
3x2 + -3y2 + (-2xy + 2y) = -9

Reorder the terms:
-2xy + 3x2 + 2y + -3y2 = -9

Solving
-2xy + 3x2 + 2y + -3y2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + -2xy + 3x2 + 2y + -3y2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -2xy + 3x2 + 2y + -3y2 = 0

The solution to this equation could not be determined.

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