\(x^2 - 10x - 24 = 0\)
First, we need to find two numbers that multiply to -24 and add to -10. These numbers are -12 and 2. So, we can rewrite the equation as:
\(x^2 - 12x + 2x - 24 = 0\)
Now, we can factor by grouping:
\(x(x - 12) + 2(x - 12) = 0\)
Now, we
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