
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 that the foci of hyperbola $C_{1}$ coincide with those of hyperbola $C_{2}$, and the equation of $C_{1}$ is $\dfrac{x^{2}}{3}-y^{2}=1$. If the slope of one of the asymptotes of $C_{2}$ is twice the slope of one of the asymptotes of $C_{1}$, then the equation of $C_{2}$ is \_\_\_\_\_\_.

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