
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 quadratic $ax^2 + bx + c$ can be expressed in the form $4(x - 5)^2 + 16$. When the quadratic $5ax^2 + 5bx + 5c$ is expressed in the form $n(x - h)^2 + k$, what is $h$?

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