This Lesson (How Do I Solve a Quadratic Equation If It Won't Factor?? Int Alg Sec 4.03) was created by by rapaljer(4671)  : View Source, ShowAbout rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.
The first step is to set the equation equal to zero, and see if it factors. If it factors, then factor completely, and set each factor equal to zero, forming two "mini-equations".
These mini-equations can each be easily solved as in your first chapter of Basic Algebra.
IF THE EQUATION CANNOT BE FACTORED, then you will need to use the "Completing the Square Method" or the "Quadratic Formula." Here is the explanation you will need.
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