For how many integer values of $a$ does the equation $$x^2 + ax + 8a = 0$$ have integer solutions for $x$?
Question:
For how many integer values of $a$ does the equation $$x^2 + ax + 8a = 0$$ have integer solutions for $x$?
Answer:
Let's think step by step.

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For how many integer values of $a$ does the equation $$x^2 + ax + 8a = 0$$ have integer solutions for $x$?
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