
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
Solve the equation $5x^2 - 7x + 20 = 0$. If the solutions to this equation can be written in the form $x = p \pm q i,$ where $p$ and $q$ are real numbers, what is $p + q^2$?

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