
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
Find the root(s) of the equation $\frac{21}{x^2 - 9} - \frac{3}{x - 3} = 1$.
A) $-3$ and $3$
B) $-3$ and $7$
C) $7$ only
D) $-7$ and $3$
E) $-9$ and $9$

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