+128407 7y^2 - 4x^2 + 24x + 14y - 57 = 0 rearrange as
7y^2 + 14y - 4x^2 + 24x = 57 factor as
7(y^2 +2y) -4(x^2 - 6x) = 57 complete the square on x and y
7(y^2 + 2y + 1) - 4(x^2 -6 + 9) = 57 + 7 - 36 simplify
7(y + 1)^2 - 4(x - 3)^2 = 28 divide through by 28
(y + 1)^2 (x - 3)^2
_______ - _________ = 1
4 7
