Решите неравенство (x-3)(2x-3)+6x2 больше 2(2x-3)2

[latex](x-3)(2x-3)+6x^2 \ \textgreater \ 2(2x-3)^2 [/latex] [latex]8x^2 - 9x + 9 \ \textgreater \ 8x^2 - 24x + 18 [/latex] [latex]8x^2 - 9x + 9 - 8x^2 + 24x - 18 \ \textgreater \ 0[/latex] [latex]15x - 9 \ \textgreater \ 0[/latex] [latex]15x \ \textgreater \ 9[/latex] [latex]x \ \textgreater \ \frac{3}{5} [/latex] [latex]x \ \textgreater \ 0.6[/latex] [latex]x[/latex] ∈ [latex](0.6 ; +[/latex]∞[latex])[/latex]