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Find the points on the surface x z + 49 + 64 = 1 3136 where the tangent plane is parallel to the plane

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Find the points on the surface x z + 49 + 64 = 1 3136 where the tangent plane is parallel to the plane 2x-7y+ z = 2. (Use symbolic notation and fractions where needed. Give your answer as a comma-separated list of coordinate points of form (*, *, *).)

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