(X^2+6x+8)/(3x^2+7x+2)
x2+6x+2 factors nicely: (x+4)(x+2)
3x2+7x+2 also factors nicely: (3x+1)(x+2)
The x+2 term is common to both, so it cancels from the original ratio which simplifies to (x+4)/(3x+1)
The answer is x=-4. Hope it works!