I am trying to understand how to apply the quadratic formula to solve equations. Can you explain the process step-by-step, using the equation x^2 + 5x + 6 = 0 as an example? Your response should contain at least 5 sentences. Highlight at least 2 sections in your answer with markdown, i.e., *highlighted section*. Include keywords *quadratic formula*, *discriminant*, and *roots*. In your response, the word *equation* should appear at least 3 times.
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