Answer:
x = -0.62 and x = 4.29
These values are approximations !
Explanation:
You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?
Anyway, to solve it, you can still use the ABC formula.
3x²-11x-6=0
a = 3
b =-11
c = -6
x = [11 + √{121 -4(3 *-6)} ]/ 2*3
x = [11 + √{121 -4(-24)} ]/ 6
x = [11 + √{121 + 96} ]/ 6
x = [11 + √{217} ]/ 6
x = 4.29 This is an approximation !
x = [11 - √{121 -4(3 *-6)} ]/ 2*3
x = [11 - √{121 -4(-24)} ]/ 6
x = [11 - √{121 + 96} ]/ 6
x = [11 - √{217} ]/ 6
x = -0.62 This is an approximation !
extra: see the graph.