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okay in this video Im going to talk about solving quadratic inequalities and this will be the first example and the basic idea is you make your inequality into an equation you then find the solutions of that by either completing the square you can factor it you can use the quadratic formula and from there well make a number line putting our solutions on the number line well check those solutions in the inequality as well as a point from each interval okay so suppose we have x squared plus 2x minus 8 okay Im going to factor this well first well turn it into an equation so x squared plus 2x minus 8 will just make it equal to 0 ok that doesnt matter what your inequality is just make it equal to 0 and then I think we can factor this one so lets see well have X and X we need two numbers that multiply to negative 8 but add up to positive 2 well I think positive 4 and negative 2 would do that for us so well get negative 8 and then well get our positive 2 in the middle equals 0 so th