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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!

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