Make x the subject: a(x^3)+b(x^2)+cx+d=0
The analytical solution to a general cubic equation is quite complicated. Do an Internet search for solution to cubic equations.
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Make x the subject: a(x^3)+b(x^2)+cx+d=0 a(x) = b (-x^(2/3))-c x^(1/3)-d
Should read:
a(x) = b (-x^(2/3))-c x^(1/3)-d