
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 following equations:

(1) x² + 12x + 27 = 0

(2) 3x² + 10x + 5 = 0

(3) 3x(x - 1) = 2 - 2x

(4) (3x + 1)² - 9 = 0

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