
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
Ryan solved the equation $|x+3|=4$. Meanwhile, Kira solved an equation of the form $x^2 + bx + c = 0$ that had the same two solutions for $x$ as Ryan's equation. Kira's equation additionally satisfies the condition $\sin x = 0$ for at least one solution. What is the ordered pair $(b, c)$?

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