
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 $f\left(x\right)=ax^{2}+\left(3-2a\right)x-6$.  
$(1)$ When $a=1$, find the values of $x$ for which the graph of $f\left(x\right)$ is above the $x$-axis.  
$(2)$ When $a \lt 0$, find the solution set for $f\left(x\right) \lt 0$.

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