Ax ^ 5 + BX ^ 4 + CX ^ 3 + DX ^ 2 + ex = 0, find the factorial solution of X, that is, the radical solution of X I'm talking about radical solutions, not formula solutions

Ax ^ 5 + BX ^ 4 + CX ^ 3 + DX ^ 2 + ex = 0, find the factorial solution of X, that is, the radical solution of X I'm talking about radical solutions, not formula solutions


Abel, a Norwegian mathematician, proved that except for some special cases, if n ≥ 5, there is no radical solution for a general algebraic equation of degree n with one variable
Galois, a French mathematician, founded group theory and pointed out which special equations of higher degree have radical solutions