Question: How to solve quintic equation

 

Hi. Can someone solve for w as a general function of k, without RootOf

w^3+3w^3*(1-w)+6w^3*(1-w)^2=k, k constant

i tried

allvalues(solve(w^3+3*w^3*(1-w)+6*w^3*(1-w)^2-k,w))

and also with option explicit (edit)

 

 

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