Graphing utilities, such as the ubiquitous graphing calculator, are often used in finding the approximate real roots of polynomial equations. In this paper the author offers a simple graphing technique that allows one to find all solutions of a polynomial equation (1) of arbitrary degree; (2) with real or complex coefficients; and (3) possessing both real and complex roots. The technique uses a graphing tool endowed with the ability to graph relations directly, without resorting to the decomposition of these relations into sets of functions. The author explains the technique, illustrating by solving a quadratic equation with complex coefficients and with no real roots. Finally, the author illustrates the technique by solving a variety of higher-degree polynomial equations, with real and complex coefficients, and with real and complex roots. (Contains 8 figures.)