# SOLUTION: 2x^2-24x+33=0

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 Question 185227: 2x^2-24x+33=0Answer by Edwin McCravy(8888)   (Show Source): You can put this solution on YOUR website!2x^2-24x+33=0 ``` First you try to factor it: Multiply 2 by 33, getting 66. Now we make a column of ways to factor 66 using two integers: factors 1x66 2x33 3x22 6x11 Now since the sign of 66 is positive, we make a list of the sums: factors sums of factors 1x66 1+66=67 2x33 2+33=35 3x22 3+22=25 6x11 6+11=17 Now you try to find one that agrees in absolute value with the middle term of 2x^2-24x+33=0 Oh oh! There aren't any! So it won't factor. So we have to use the quadratic formula. a=2, b=-24, c=33 Factor 2 out of the top Divide top and bottom by 2: Edwin```