The equation in your image is:

$x^2 + 7x + 6 = 0$

We can solve this quadratic equation using the quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

For the equation $x^2 + 7x + 6 = 0$, the coefficients are:

• $a = 1$
• $b = 7$
• $c = 6$

Step-by-Step Solution:

1. Substitute the values of $a$, $b$, and $c$ into the quadratic formula:

$x = \frac{-7 \pm \sqrt{7^2 - 4(1)(6)}}{2(1)}$

2. **Simplify the discriminant ($b^2 - 4ac$):