
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
Solve the quadratic equation $9x^2 - 36x - 81 = 0$ by completing the square. In this process, transform it into the equation $$(x+m)^2 = n,$$ where $m$ and $n$ are constants. Determine the value of $m+n$.

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