
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 the book "Quick Methods for Multiplication and Division in Similar Fields" written by the mathematician Yang Hui of the Southern Song Dynasty, it is recorded: "The area of a rectangular field is 864 square steps, and its length and width together are 60 steps. What are the length and width of the field?" Translation: The area of a rectangular field is 864 square steps, and its length and width together are 60 steps. What are the length and width of the field? Let the length of this rectangular field be x steps, according to the question, the equation can be written as ______.

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