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

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


Simplifying
(x3 + -1)(y3 + -1) = 3(x2 * y2 + 2)

Reorder the terms:
(-1 + x3)(y3 + -1) = 3(x2 * y2 + 2)

Reorder the terms:
(-1 + x3)(-1 + y3) = 3(x2 * y2 + 2)

Multiply (-1 + x3) * (-1 + y3)
(-1(-1 + y3) + x3(-1 + y3)) = 3(x2 * y2 + 2)
((-1 * -1 + y3 * -1) + x3(-1 + y3)) = 3(x2 * y2 + 2)
((1 + -1y3) + x3(-1 + y3)) = 3(x2 * y2 + 2)
(1 + -1y3 + (-1 * x3 + y3 * x3)) = 3(x2 * y2 + 2)
(1 + -1y3 + (-1x3 + x3y3)) = 3(x2 * y2 + 2)

Reorder the terms:
(1 + -1x3 + x3y3 + -1y3) = 3(x2 * y2 + 2)
(1 + -1x3 + x3y3 + -1y3) = 3(x2 * y2 + 2)

Multiply x2 * y2
1 + -1x3 + x3y3 + -1y3 = 3(x2y2 + 2)

Reorder the terms:
1 + -1x3 + x3y3 + -1y3 = 3(2 + x2y2)
1 + -1x3 + x3y3 + -1y3 = (2 * 3 + x2y2 * 3)
1 + -1x3 + x3y3 + -1y3 = (6 + 3x2y2)

Solving
1 + -1x3 + x3y3 + -1y3 = 6 + 3x2y2

Solving for variable 'x'.

Reorder the terms:
1 + -6 + -3x2y2 + -1x3 + x3y3 + -1y3 = 6 + 3x2y2 + -6 + -3x2y2

Combine like terms: 1 + -6 = -5
-5 + -3x2y2 + -1x3 + x3y3 + -1y3 = 6 + 3x2y2 + -6 + -3x2y2

Reorder the terms:
-5 + -3x2y2 + -1x3 + x3y3 + -1y3 = 6 + -6 + 3x2y2 + -3x2y2

Combine like terms: 6 + -6 = 0
-5 + -3x2y2 + -1x3 + x3y3 + -1y3 = 0 + 3x2y2 + -3x2y2
-5 + -3x2y2 + -1x3 + x3y3 + -1y3 = 3x2y2 + -3x2y2

Combine like terms: 3x2y2 + -3x2y2 = 0
-5 + -3x2y2 + -1x3 + x3y3 + -1y3 = 0

The solution to this equation could not be determined.

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