
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
Two lines intersect at point \( P(3,2) \), one with a slope of 3 and the other with a slope of -2. Find the area of the triangle formed by \( P \), \( Q \), and \( R \), where \( Q \) and \( R \) are where each line crosses the x-axis.

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