
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 that $(x)$ is a number defined on $R$, and the function $f'(x)$, when $x \in (-0]$, $f(x)$ has a unique zero point $(-3)$ with $xf'(x) < f(x)$, the range of real number values $x$ that satisfy the inequality $\frac{f(\quad\quad)}{x} \leqslant 0$ is ____. (Express the result using interval notation)

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