we have
x^2 + 9x + 14 =0
complete the square
(x^2+9x+4.5^2-4.5^2)+14=0
(x^2+9x+20.25)-20.25+14=0
rewrite as perfect squares
(x-4.5)^2=6.25
take the square root both sides
x-4.5=(+/-)2.5
x=4.5(+/-)2.5
the solutions are
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