
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 quadratic equations about $x$, $3x^{2}+px-7=0$ with solution set $A$, and $3x^{2}-7x+q=0$ with solution set $B$. If the intersection of sets $A$ and $B$ is $\{- \frac {1}{3}\}$, find the union of sets $A$ and $B$ ($A∪B$).

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