
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 function $f(x)=3x^{2}+(4-m)x-6m$, $g(x)=2x^{2}-x-m$.

$(1)$ If $m=1$, find the solution set of the inequality $f(x) > 0$.

$(2)$ If $m > 0$, find the solution set of the inequality $f(x) \leqslant g(x)$ regarding $x$.

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