
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 the solution set of the inequality $ax^{2}+bx+c\leqslant 0$ is $\{x\left|\right.x\leqslant -3$ or $x\geqslant 4\}$, then the solution set of the inequality $bx^{2}+2ax-c-3b\leqslant 0$ is ______.

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