Problem
$x^{2}+6 x+8$
Solution
Step 1 ：We are given the quadratic equation \(x^{2}+6 x+8 = 0\).
Step 2 ：This is a quadratic equation in the form of \(ax^2 + bx + c\).
Step 3 ：To solve this equation, we can use the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).
Step 4 ：Here, \(a = 1\), \(b = 6\), and \(c = 8\).
Step 5 ：Substituting these values into the quadratic formula, we get the solutions \(x = -4.0\) and \(x = -2.0\).
Step 6 ：These are the values of \(x\) that satisfy the equation \(x^{2}+6 x+8 = 0\).
Step 7 ：Final Answer: The solutions to the equation \(x^{2}+6 x+8 = 0\) are \(x = \boxed{-4.0}\) and \(x = \boxed{-2.0}\).
