Show that the joint equation of the asymptotes of a hyperbola differs from the equation of the hyperbola only by a constant. Using this fact, find the asymptotes of the hyperbola H: 2*(x^2)(x*y)(y^2) + 2*x2*y + 2 = 0. Further, find the general equation of a hyperbola having the same asymptotes as those of H.
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