
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
Solve the equations:
1) \(4x^{2} - 12x + 9 = 0\)
2) \(x^{2} - \pi^{2} = 0\)
3) \(a^{3} - a = 0\)
4) \(x^{2} + 1 + \pi = 2x\)
5) \(x^{2} = \pi^{2} - 2\pi + 1\)
6) \(x^{2} + y^{2} - 4x + 4 = 0\)

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