
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
Perform the following multiplications:

1. 

$$
\left(x+\frac{p}{2}-\sqrt{\frac{p^{2}}{4}-q}\right) \cdot\left(x+\frac{p}{2}+\sqrt{\frac{p^{2}}{4}-q}\right) .
$$

2. 

$$
a \cdot\left(x+\frac{b-\sqrt{b^{2}-4 a c}}{2 a}\right) \cdot\left(x+\frac{b+\sqrt{b^{2}}-4 a c}{2 a}\right)
$$

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