
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
Find the values of $x$ that satisfy the equation $\log_{10}(3x^2 - 24x) = 3$.
A) $\frac{68}{3}, -\frac{44}{3}$  
B) $20, -5$  
C) $15, -10$  
D) $35, -28$  
E) None of these

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