
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 vertices of an obtuse triangle are located at $(8,6)$ and $(0,0)$. The third vertex is situated on the negative branch of the $x$-axis. Determine the coordinates of this third vertex if the area of the triangle is to be 36 square units.

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