
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
Consider the equation $\frac{3x^2}{x-2}-\frac{5x+10}{4}+\frac{9-9x}{x-2}+2=0$. 
Find the roots of this equation.
A) $6$ and $5.67$
B) Only $6$
C) Only $5.67$
D) $6$ and $\frac{17}{3}$

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