Let unknown integer be n.
So then your sentence would translate to 3n² + n = 2.
If you need to solve for n then we can move 2 to left side by subtract both sides by 2:
3n² + n - 2 = 0
Now you can factor:
3n² + 3n -2n - 2 = 0
3n( n + 1 ) - 2( n + 1 ) = 0
( 3n - 2 )( n + 1 ) = 0
3n - 2 = 0 OR n + 1 = 0
3n = 2 OR n = -1
n = 2/3 OR n = -1
Final answer: n = 2/3 OR n = -1
