
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
For what value of the parameter \( k \) can the expression

$$
(3k-2)x(x+k) + k^2(k-1)
$$

be written in the form \( (ax+b)^2 \)?

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