Answer
{$-4-\sqrt 2, -4+\sqrt 2$}
Work Step by Step
$x^2+8x+14=0$
$x^2+8x+16=2$
$(x+4)^2=2$
$x+4=+\sqrt 2 or -\sqrt 2$
x = {$-4-\sqrt 2, -4+\sqrt 2$}
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