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in this lesson were going to talk about solving quadratic equations by factoring so lets start with this example x squared minus 49 is equal to zero you can use the difference of perfect squares technique for this one the square root of x squared is x the square root of 49 is seven so its going to be x plus seven and x minus seven now you need to set each factor equal to zero at this point and then you could find the value of x so we have x plus seven is equal to zero and x minus seven is equal to zero the reason why we can do that is because if one of these terms is equal to zero then everything is zero zero times anything is zero so x is equal to negative seven and in the other equation if we add seven to both sides we could see that x is equal to positive 7. lets try another example lets say if we have 3x squared minus 75 is equal to zero what is the value of x 3 and 75 are not perfect squares so we dont want to use the difference of perfect squares technique yet however we ca