multimea solutiilor ecuatiei este ?

Buna!
[tex]3^{2x+2} -3^{x+1} -6=0\\3^{2x}*3^{2} -3^{x}*3-6=0\\=> 3^{x}=t\\=> 9t^{2} -3t-6=0\\delta=9+4*9*6=9+216=225\\t_{1} =\frac{3+15}{18} =1 => x=0\\t_{2} =\frac{3-15}{18}=\frac{-12}{18} =\frac{-4}{3} <0[/tex]