
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\\), \\(a{{x}^{2}}+3x+2 > 0\\) (where \\(a \in \mathbb{R}\\)).

\\((1)\\) When \\(a=-5\\), find the solution set of this inequality.

\\((2)\\) Find the solution set of the inequality \\(a{{x}^{2}}+3x+2 > -ax-1\\) (where \\(a > 0)\\).

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