(xy+1)(xy-1)(x+3)=xy+9

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


Simplifying
(xy + 1)(xy + -1)(x + 3) = xy + 9

Reorder the terms:
(1 + xy)(xy + -1)(x + 3) = xy + 9

Reorder the terms:
(1 + xy)(-1 + xy)(x + 3) = xy + 9

Reorder the terms:
(1 + xy)(-1 + xy)(3 + x) = xy + 9

Multiply (1 + xy) * (-1 + xy)
(1(-1 + xy) + xy(-1 + xy))(3 + x) = xy + 9
((-1 * 1 + xy * 1) + xy(-1 + xy))(3 + x) = xy + 9
((-1 + 1xy) + xy(-1 + xy))(3 + x) = xy + 9
(-1 + 1xy + (-1 * xy + xy * xy))(3 + x) = xy + 9
(-1 + 1xy + (-1xy + x2y2))(3 + x) = xy + 9

Combine like terms: 1xy + -1xy = 0
(-1 + 0 + x2y2)(3 + x) = xy + 9
(-1 + x2y2)(3 + x) = xy + 9

Multiply (-1 + x2y2) * (3 + x)
(-1(3 + x) + x2y2(3 + x)) = xy + 9
((3 * -1 + x * -1) + x2y2(3 + x)) = xy + 9
((-3 + -1x) + x2y2(3 + x)) = xy + 9
(-3 + -1x + (3 * x2y2 + x * x2y2)) = xy + 9
(-3 + -1x + (3x2y2 + x3y2)) = xy + 9
(-3 + -1x + 3x2y2 + x3y2) = xy + 9

Reorder the terms:
-3 + -1x + 3x2y2 + x3y2 = 9 + xy

Solving
-3 + -1x + 3x2y2 + x3y2 = 9 + xy

Solving for variable 'x'.

Reorder the terms:
-3 + -9 + -1x + -1xy + 3x2y2 + x3y2 = 9 + xy + -9 + -1xy

Combine like terms: -3 + -9 = -12
-12 + -1x + -1xy + 3x2y2 + x3y2 = 9 + xy + -9 + -1xy

Reorder the terms:
-12 + -1x + -1xy + 3x2y2 + x3y2 = 9 + -9 + xy + -1xy

Combine like terms: 9 + -9 = 0
-12 + -1x + -1xy + 3x2y2 + x3y2 = 0 + xy + -1xy
-12 + -1x + -1xy + 3x2y2 + x3y2 = xy + -1xy

Combine like terms: xy + -1xy = 0
-12 + -1x + -1xy + 3x2y2 + x3y2 = 0

The solution to this equation could not be determined.

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