
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
Milton's equation on his homework paper got a coffee stain, making one of the coefficients unreadable. He remembers that the quadratic had two distinct negative, integer solutions. If the constant term of the quadratic is 48 instead of 36, what is the sum of all distinct possible integers that could be under the coffee stain?

[asy]
draw((0,0)--(3,0)--(3,3)--(0,3)--cycle);
fill((0,0)--(3,0)--(3,3)--(0,3)--cycle,brown);
label("$x + 48 = 0$", (3,1.5),E);
label("$x^2 +$", (0,1.5),W);
[/asy]

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