Quadratic Equation And Inequalities

The set of all values of K > \(-\)1, for which the equation \({(3{x^2} + 4x + 3)^2} - (k + 1)(3{x^2} + 4x + 3)(3{x^2} + 4x + 2) + k{(3{x^2} + 4x + 2)^2} = 0\) has real roots, is :