Answer
$$x=3\sqrt{2}-2,\:x=-3\sqrt{2}-2$$
Work Step by Step
Completing the square, we find:
$$x^2+4x-14+2^2-2^2 \\ \left(x+2\right)^2-14-2^2 \\ \left(x+2\right)^2-18 \\ x=3\sqrt{2}-2,\:x=-3\sqrt{2}-2$$
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