
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
The numbers \( p \) and \( b \) are the roots of the quadratic equation \( x^{2} + 2020ax + c = 0 \), where \( a \neq 0 \). Find the sum of the roots of the quadratic equations \( ax^{2} + bx + d = 0 \) and \( ax^{2} + px + q = 0 \), given that each of them has 2 distinct real roots.

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