
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
Let $x_1$ and $x_2$ be distinct such that they satisfy the equation $4x_i^2 - kx_i - m = 0$ for $i = 1, 2$. Find the value of $x_1x_2$.
A) $\frac{m}{4}$
B) $-\frac{m}{4}$
C) $\frac{k}{4}$
D) $-\frac{k}{4}$

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