
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 points where the parabolas given by the equations \(y=3x^2-9x-5\) and \(y=x^2-6x+8\) intersect. List the points in order of increasing \(x\)-coordinate, separated by semicolons.

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