
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
Let the operation $\Delta$ be defined as $\Delta(a, b, c) = c^2 - 3ab$, for all real numbers $a, b$, and $c$. If $a$, $b$, and $c$ are such that $\Delta(a, b, c)=0$, find the relationship between $a$, $b$, and $c$ when $a=2$, $b=5$.

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