
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
Two flagpoles with heights of 5 meters and 3 meters stand on a horizontal ground. If the coordinates of the bases of the two flagpoles are determined as \( A(-5,0) \) and \( B(5,0) \) respectively, then the locus of points on the ground where the angles of elevation to the tops of the poles are equal is $\quad$ .

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