
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
On a spherical planet of radius  $R$  the intensity of attraction is measured gravitational at a heigh  $x$  from the surface, the same measurements is made at a depth equal to the height, achieving both situations the same result.
Find the value of  $x$  that satisfies this characteristics of the gravitational field.

*Proposed by Francisco Soriano, Cortes*

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