The equation in the image is:

$x^2 + 4x - 49 = 0$

Would you like me to solve it using the quadratic formula or another method?

Here are some related questions to expand your understanding:

1. How is the quadratic formula applied to solve equations like this?
2. What are the steps to complete the square in such equations?
3. When is factoring a better choice than the quadratic formula?
4. How can you determine the nature of the roots without solving?
5. What does the graph of this quadratic equation look like?

Tip: Always check the discriminant ($b^2 - 4ac$) to determine the type of roots before solving.