This document discusses methods for solving algebraic and transcendental equations. It describes directive or direct methods that can find exact solutions, such as factorization. It also describes iterative or indirect methods that can find approximate solutions, including the bisection method and Regula Falsi method. The bisection method repeatedly bisects an interval to narrow in on a solution, while the Regula Falsi method uses linear interpolation to refine the interval containing the root. Examples of each method's algorithm are provided along with graphical representations.