
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
Determine all integer values of $m$ and $n$ for which the roots of the following equation are also integers:

$$
(2 m-3)(n-1) x^{2}+(2 m-3)(n-1)(m-n-4) x-2(2 m-3)(n-1)(m-n-2)-1=0
$$

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