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I think you have no chance to find a symbolic solution. In the end you arrive at an equation of 12th order for a2: expr1 = a2 c1 Sqrt[x1/(a2^2 (c2^2 - c1^2) + c2^2 x2)] expr2 = a2 c3 Sqrt[x3/(a2^2 (c2^2 - c3^2) + c2^2 x2)] eq0...