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Solving Quadratic Equations We have learned three different methods of solving quadratic equations having a power of two. Which one we use depends on the situation and on the equation we have to solve. The first means that can be used to solve a quadratic equation is factoring. Factoring only works in certain cases, but is by far the easiest and fastest to use. When factoring it is much easier if the term with the power of two has a coefficient of one. This is due to the fact that when factoring it is easier to m