
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
The equation \(x^2 + 16x = 100\) has two solutions. The positive solution has the form \(\sqrt{c} - d\) for positive natural numbers \(c\) and \(d\). What is \(c+d\)?

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