
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
Solve for $x$ in the equation $5y^2 + y + 10 = 2(9x^2 + y + 6)$, given that $y = 3x$.
A) $x = \frac{1}{3}$ only  
B) $x = -\frac{2}{9}$ only  
C) $x = \frac{1}{3}, -\frac{2}{9}$  
D) $x = 0$  
E) No solution

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