
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:<br/>
(1) $x^{2}-2x-1=0$; (using the completing the square method)<br/>
(2) $(x+5)(x+1)=12$; (using the completing the square method)<br/>
(3) $5x+2=3x^{2}$; (using the formula method)<br/>
(4) $x(x-3)-4=0$; (using the formula method)

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