
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 $A=\{x|3x^{2}-8x+4 \gt 0\}$, $B=\{x|\frac{-2}{x^{2}-ax-2a^{2}}＜0\}$.  
$(1)$ If $(\complement _{R}A)$⋂$B=\varnothing $, find the range of $a$.  
$(2)$ Let $p:x\in A$, $q:x\in B$. If $p$ is a necessary but not sufficient condition for $q$, find the range of $a$.

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