Solve the equation by using the quadratic formula $$ x^{2}+8 x+5=0 $$

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Solve the equation $$ x^{2}+8x+5=0 $$.
Solve the quadratic equation by following steps:
- step0: Solve using the quadratic formula:
  $$x^{2}+8x+5=0$$
- step1: Solve using the quadratic formula:
  $$x=\frac{-8\pm \sqrt{8^{2}-4	imes 5}}{2}$$
- step2: Simplify the expression:
  $$x=\frac{-8\pm \sqrt{44}}{2}$$
- step3: Simplify the expression:
  $$x=\frac{-8\pm 2\sqrt{11}}{2}$$
- step4: Separate into possible cases:
  $$\begin{align}&x=\frac{-8+2\sqrt{11}}{2}\&x=\frac{-8-2\sqrt{11}}{2}\end{align}$$
- step5: Simplify the expression:
  $$\begin{align}&x=-4+\sqrt{11}\&x=\frac{-8-2\sqrt{11}}{2}\end{align}$$
- step6: Simplify the expression:
  $$\begin{align}&x=-4+\sqrt{11}\&x=-4-\sqrt{11}\end{align}$$
- step7: Rewrite:
  $$x_{1}=-4-\sqrt{11},x_{2}=-4+\sqrt{11}$$
The solutions to the equation $$x^{2}+8x+5=0$$ using the quadratic formula are $$x_{1}=-4-\sqrt{11}$$ and $$x_{2}=-4+\sqrt{11}$$.
The solutions are $$x = -4 - \sqrt{11}$$ and $$x = -4 + \sqrt{11}$$.

Solve the equation by using the quadratic formula

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