Given that the ratio of the distance between the left and right focal points of point m and hyperbola x216 − Y29 = 1 is 2:3, the trajectory equation of point m is______ ．

Let the coordinates of point m be the left of (x, y) ∵ hyperbola x216 − Y29 = 1, and the coordinates of right focus be C (- 5, 0). D (5, 0) is reduced from mcmd = 23 ∫ x + 5) 2 + Y2 (x − 5) 2 + y2 = 49 to x2 + Y2 + 26x + 25 = 0, so the answer is x2 + Y2 + 26x + 25 = 0

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