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this is the slide and divide method of solving a quadratic equation now this is new to me i only learned about this method um last week even though ive been teaching maths for 10 years this is a ive only come across this method in the last week or so but i really like it so im going to show you how to do it so slide and divide what you do is you take your quadratic equation like this you take the coefficient of the x squared you slide it down and you multiply it by the minus 12. and were going to rewrite the equation without this 3 now so just with an x squared plus 5x and then were going to multiply the 3 by the minus 12 to get minus 36 so now were going to go and factorize this as we normally would so we can factorize this fairly easy now because the coefficient of x squared is one and so were going to have x and x because thatll give you x squared and now were looking for factors of minus 36 that add together to give you plus 5. well thats going to be plus nine and minus
