
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a quadratic trinomial, the first coefficient and the constant term were swapped, and then the result was added to the original trinomial. The resulting third quadratic trinomial has exactly one root. What can this root be? If there are multiple correct answers, list them separated by commas or semicolons.

Present the answer in LaTex format: \boxed{Your answer}
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