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## Homework Statement

Let S be the sum of all integer values of n such that [tex]\frac {n^2+12n-43} {n+6} [/tex] is an integer. What is the value of |S|.

## Homework Equations

Since it's sum, S = [tex]\frac {n} {2} \ (2a+(n-1)d) [/tex] where a is the first term.

The [tex]\frac {n^2+12n-43} {n+6} [/tex] = x, where x is an integer

## The Attempt at a Solution

**[tex]\frac {n^2+12n-43} {n+6} [/tex]= x**

**[tex] {n^2+(12-x)n-43-6x}[/tex] = 0**

**basically I have no idea "Let S be the sum of all integer values of n" means?**

Is it means that S = n or otherwise? Need clarification for this.Is it means that S = n or otherwise? Need clarification for this.