Completing the Square by Boxed Rockets

Solve Using Completing the Square.

x^{2} + 16 x + 8 = 0

x = -8 \pm 2 \sqrt{14}

x^{2} - 2 x - 2 = 0

x = 1 \pm \sqrt{3}

x^{2} - 14 x - 3 = 0

x = 7 \pm 2 \sqrt{13}

x^{2} + 14 x + 3 = 0

x = -7 \pm \sqrt{46}

x^{2} + 6 x + 7 = 0

x = -3 \pm \sqrt{2}

x^{2} + 4 x - 6 = 0

x = -2 \pm \sqrt{10}