
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
Consider the equation \(4 - \frac{9}{x} + \frac{4}{x^2} = 0\). Find the sum of all possible values of \(\frac{3}{x}\).
A) $\frac{49}{4}$  
B) $\frac{50}{4}$  
C) $\frac{51}{4}$  
D) $\frac{52}{4}$  
E) $\frac{53}{4}$

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