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in this video were going to talk about how to factor any quadratic equation using the quadratic formulas now lets say if we need to factor an expression that looks like this 12x squared plus x minus 20. now there are some techniques that we could use to factor it but because these numbers are large the regular techniques will take some time fortunately we could use the quadratic formula and here it is its x is equal to negative b plus or minus the square root of b squared minus 4 ac divided by 2a a is the number in front of x squared b is the number in front of x if you dont see a number its a 1 and c is negative 20. so using this formula lets start over here its going to be negative b or negative 1 plus or minus the square root of 1 squared minus 4 times a a is 12 and then times c which is negative 20 divided by two a or two times twelve so now lets simplify what we have one squared is one and then we have negative four times twelve times minus 20 which is 960 and then 2 times
