Answer:

Step-by-step explanation:
See the comment for complete question.
Given
----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:

Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
and 
Using the above roots, the equation can be represented as:

Open brackets

To compare the above equation to
, we have:


Where:
and 
The values of
and
that satisfy
are:
and 
and 
and 
and 
So, the possible values of a are:

When
and 

When
and 

When
and 

When
and 

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:

