The six roots of the given sextic equation (1) are then obtained by solving the
above cubic equations. Thus in order to represent the given sextic equation (1)
in the form of (2), the coefficients of (1) should be equal to the coefficients of (2).
However the coefficients of (2) are not explicitly available. Therefore the sextic
equation (2) is now expanded and rearranged in descending powers of x as shown
below, to facilitate equating its coefficients with that of sextic equation (1).