Question: Roots of a sextic polynomial

Dear Experts,

 

I am in a process of trying the roots of a sextic polynomial.

 

Attached is the equation type  sixthorderpolynomial.mw  . I tried to do some simplification. But still not able to find the solution.   I tried to use Factor also. But no progress.

I am intended to get the solutoin for lambda variable and remaining are variables are constants.

Your inputs are of great help.

Looking forward to your inputs.

 

Regards

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