
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
Warren wishes to solve the equation \(25x^2+30x-45=0\) by completing the square. He reformulates the equation as \((ax+b)^2=c\), where \(a\), \(b\), and \(c\) are integers and \(a>0\). Determine the value of \(a + b + c\).

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