
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
If \(x\) is a positive number such that \[\sqrt{12x}\cdot\sqrt{5x}\cdot\sqrt{6x}\cdot\sqrt{10x} = 10,\] find all possible values for \(x\).

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