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  • $\begingroup$ Thanks but why is NSolve not working? $\endgroup$ Commented Sep 13, 2019 at 8:01
  • $\begingroup$ @ketherok There is a dimensional component to the solution set (when phi is 0). It can be removed to get the finite solution set as follows: In[119]:= poly = (22500 + t^2/3)*phi^2 + 320 phi^3 + phi^4; NSolve[{poly, D[poly, phi], phi*recip - 1} == 0] Out[120]= {{phi -> -160., recip -> -0.00625, t -> 96.4365076099}, {phi -> -160., recip -> -0.00625, t -> -96.4365076099}} $\endgroup$ Commented Sep 13, 2019 at 20:04