
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
The sum of the distances of a moving point to the two coordinate axes, multiplied by two, equals the square of the distance from this moving point to the origin. Find the equation of the trajectory of the moving point.

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