To solve the quadratic equation \( x^2 + 6x + 5 = 0 \), we can factor it. The equation can be rewritten as:

\[
(x + 1)(x + 5) = 0
\]

Now, we can set each factor equal to zero:

1. \( x + 1 = 0 \)
- \( x = -1 \)

2. \( x + 5 = 0 \)
- \( x = -5 \)

So, the solutions to the equation \( x^2 + 6x + 5 = 0 \) are:

\[
x = -1 \quad \text{and} \quad x = -5
\]

If you need any further assistance, feel free to ask!