Abstract: Formulas are given for solving by radicals every solvable quintic or septics. The formula for the quintics are much shorter than the preceding ones, while the formula for the septics seems the first published one. Instead of using resolvent as the preceding papers on this subject, this paper uses the factorization of the polynomials whose roots are the sum of two different roots of the input (for the quintics) or the sum of three different roots of the input (for the septics).