Determine all real numbers $ a$ such that the inequality $ |x^2 + 2ax + 3a|\le2$ has exactly one solution in $ x$.
Question:
Determine all real numbers $ a$ such that the inequality $ |x^2 + 2ax + 3a|\le2$ has exactly one solution in $ x$.
Answer:
Let's think step by step.

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Determine all real numbers $ a$ such that the inequality $ |x^2 + 2ax + 3a|\le2$ has exactly one solution in $ x$.
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