
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
In response to the call for nationwide reading, a certain school library is open to the public during holidays. According to statistics, there were 560 visits in the first month, and the number of visits increased each month, with 830 visits in the third month. If the average growth rate of the number of visits to the library in the second and third months is $x$, the equation can be written as ____.

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