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The equations depend on the variables Hb , Db , kb , Ks , Gb and two parameters K,Ho For given parameters (examplary {K -> 1, Ho -> 1}) NMinimize might solve your problem: NMinimize[{1, eqn} /. {K -> 1, Ho -> 1}, {Hb , Db , kb , Ks , Gb }] (*{1., {Hb -> 0.987152, Db -> 0.987152, kb -> 3.00016, Ks -> 0.987152, Gb -> 0.0317076}}*...


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