
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
Find the solutions of the equation \(x(5x - 9) = -4\) and express them in the form \(\frac{m+\sqrt{n}}{p}\) and \(\frac{m-\sqrt{n}}{p}\), where \(m\), \(n\), and \(p\) are integers having a greatest common divisor of 1. Calculate \(m+n+p\).

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