
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 proposition $p$: The real number $x$ satisfies $x^{2}+4ax+3a^{2} < 0$, where $a\neq 0$, and proposition $q$: The real number $x$ satisfies the system of inequalities $\begin{cases} x^{2}-6x-72 \leqslant 0 \\ x^{2}+x-6 > 0 \end{cases}$.

(1) If $a=-1$, and $p \vee q$ is true, find the range of values for the real number $x$.

(2) If $\neg p$ is a necessary but not sufficient condition for $\neg q$, find the range of values for the real number $a$.

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