
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 set of all $(x, y, z)$ points that satisfy the equation $x^2 - 9y^2 = z^2$.
A) $(x, y, z) = (6t, 2t, 0)$  
B) $(x, y, z) = (3t, t, 0)$  
C) $(x, y, z) = (9t, 3t, 0)$  
D) $(x, y, z) = (t, t, t)$

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