How do I solve an equation like this? How do I solve following equation for $X$:
$$ AX^n + BX^{n-1} + CX^{n-2} + \dotsb + YX + Z = 0, $$
where $A,B,C,\dotsc,Z,n$ are known?

I would add more: for $n\ge 5$, Galois theory proves there cannot exist any general formula, but that goes far beyond the level of precalculus.
For $n=5$, if the coefficients that satisfy special relations (more precisely if the Galois group of the equation has certain properties), there exist  a formula, or rather a program to calculate the roots, ands the code of this program (in Maple) is several pages long…
