
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 quadratic equation $5x^2 - 6x + p = 0$. Find the value of $p$ for which the product of the roots is maximum and the roots are real.
A) $\frac{16}{3}$  
B) $\frac{36}{20}$  
C) $1.8$  
D) $\frac{18}{10}$  
E) $1.9$

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