Symmetric "easy looking" polynomial problem
here's a problem I have been trying to solve for the last few months for my research.
Every time I get to a point which almost looks like solvable but I am unable to crack it. Please give a try or offer your suggestions.
All I want to solve is the solution of 'd' in:
(1/Q^2 + (2 d + g)^2) (1/Q^2 + (2 d - g)^2) (1/
Q^2 + (2 d + 2 g)^2) (1/Q^2 + (2 d - 2 g)^2) =
2 (1 + g^2 Q^2) (1 + 4 g^2 Q^2) (1 + 9 g^2 Q^2)
where, g and Q are constants and 'd' is what I am interested to solve.
Solving numerically, I set of positive and negative solutions of equal magnitude of 'd' but I am not able to exploit this condition to solve for 'd'