
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
Jeff is attempting to solve the following equation by completing the square: $$x^2 - 10x + 15 = 0.$$ He aims to rewrite it in the form $$(x + b)^2 = c,$$ where $b$ and $c$ are integers. What is the value of $b + c$?

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