
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
A triangle has vertices at $(0,0)$, $(2,2)$, and $(8m,0)$, where a line $y = mx$ divides the triangle into two triangles of equal area. Determine the sum of all possible values of $m$.
$\textbf{A}\ -\frac{1}{4} \qquad \textbf{B}\ -\frac{1}{16} \qquad \textbf{C}\ \frac{1}{16} \qquad \textbf{D}\ \frac{1}{4}$

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