Question: How to solve this differential eq.?

Hello, I need some help on how to solve this eq: A(z)*diff(P(z),z,z)-alpha(z)*P(z)-beta(z)*P(z)^3-gamma(z)*P(z)^6=0; A(z), alpha(z), beta(z), and gamma(z) is known. P(z) is the unknown. When I tried to do this by solve command, I get "warning, solutions may have been lost". I really need help on this from the experts out there... Thanks, G.
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