1. The problem statement, all variables and given/known data I'm trying to find the point at which FG attracting to the moon = FG attracting to the earth... 5.98e24 kg = Earth Mass 7.35e22 kg = Moon Mass 3.84e8 m = Distance from Earth to Moon Deductions... a = 3.84e8 - b b = 3.84e8 - a a+b = 3.84e8 2. Relevant equations g = G m / r2 (6.67e-11 * 5.98e24)/a² = (6.67e-11 * 7.35e22)/b² 3. The attempt at a solution I wolfram'd this but it didn't give a step by step solution because I don't have a paid acct [(6.67e-11 * 5.98e24)/(3.84e8 - b)^2 = (6.67e-11 * 7.35e22)/(3.84e8 - a)^2, 3.84e8 = a+b] a = 3.45677e8 b = 3.83233e7 This isn't for an assignment but I'm really curious as to how to do the calculus with two unknown variables. Unfortunately, I don't have calculus till next semester... If you could show your solution so I can study and figure out how you did it, I would be greatly appreciative. Thanks for your advice and help!