
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
Let the domain of the function $f(x)$ be $D$. If there exists an $x\_0 \in D$ such that $f(x\_0) = x\_0$ holds, then $x\_0$ is called a fixed point of the function $f(x)$. The fixed point(s) of the function $f(x) = x^2 - 2x - 10$ is/are \_\_\_\_\_\_.

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