
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 \(x\) be a real number such that
\[
x^2 + 9 \left( \frac{x}{x - 3} \right)^2 = 72.
\]
Find all possible values of \(y = \frac{(x - 3)^2 (x + 2)}{2x - 4}.\) Enter all possible values, separated by commas.

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