
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 a certain economic development zone, the industrial output value reached 50 billion yuan in January this year, and the total output value in the first quarter was 175 billion yuan. If the average monthly growth rate is denoted as $x$, find the equation based on this problem.

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