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Step 1
I'm here to help! However, I need a specific homework problem to solve.

Solve the quadratic equation: $$x^{2} - 5x + 6 = 0
Since you mentioned a file that couldn't be processed, I'll assume you wanted to include the problem statement as text. Unfortunately, I don't have that information. To make things clear, please provide the problem statement, subject, and any additional context needed for the solution. I'll make sure to follow all the LaTeX and explanation guidelines you've outlined. For practice, I'll provide a step-by-step solution to a simple math problem:

Step 2
: Identify the coefficients a, b, and c.

* $$c = 6
In this equation, we have:

Final Answer

x = 3.