
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
Given the inequality in terms of \\(x\\), \\(kx^{2}-2x+6k < 0\\) where \\(k \neq 0\\),  
\\((1)\\) If the solution set of the inequality is \\(\{x|x < -3\\) or \\(x > -2\}\\), find the value of \\(k\\);  
\\((2)\\) If the solution set of the inequality is \\(\mathbb{R}\\), find the range of values for \\(k\\);  
\\((3)\\) If the solution set of the inequality is \\(\varnothing\\), find the range of values for \\(k\\).

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