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

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: \(x=\frac{-8\pm \sqrt{8^{2}-4\times 5}}{2}\) - 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 \(x_{2}=-4+\sqrt{11}\).