x2 + 14x + 48
= (x + 8)(x + 6)
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x2 - 14x + 45 = (x - 9)(x - 5)
x2+14x+40 = (x+4)(x+10) when factored
x2+14x+49 = (x+7)(x+7) when factored
51.07142857142857
x2+14x+48=0 complete the square: add 1 to each side x2+14x+49=1 (x+7)2=1 so (x+7)= 1 or (x+7)=-1 x+7=1 means x=1-7=-6 x+7=-1 means x=-1-7=-8 and x=-8 or x=-6 Check the answer: (-6)2 -14(6)+48= 36-84+48=0 and 64-112+48=0 You can also solve it with the quadratic formula and a few other ways!