
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
Find the set of values of $k$ for which the expression $x^2 + 4xy + 2x + ky - 3k$ can be factored into two linear factors with integer coefficients, and the quadratic part has a non-negative discriminant.
A) 0
B) 1.44
C) 0, 1.44
D) None of these

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