Hey !
The Sum of Roots is -6
Manipulate the Equation to Get :
[tex](3a + 6) {x}^{2} + (2a - 4)x + (a + 4) = 0[/tex]
Now, by Viete,
[tex] - 6 = \frac{(4 - 2a)}{(3a + 6)} [/tex]
[tex]18a + 36 = 2a - 4[/tex]
[tex]16a = - 40[/tex]
[tex] = > a = \frac{ - 5}{2} = - 2.5[/tex]