
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
If $x$ is real and the equation $9y^2 + 9xy + x + 8 = 0$ holds, find the set of values for $x$ for which $y$ is real.
A) $x\le r_1 \text{ or } x\ge r_2$
B) $r_1 \le x \le r_2$
C) $x \le r_2$
D) $x \ge r_1$
E) None of the above

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