\[4x^{2} + 12x + 10 > 0\]
\[D = 36 - 40 = - 4 < 0\]
\[a > 0;\ \ D < 0 \Longrightarrow ( - \infty; + \infty)\text{.\ }\]
\[Ответ:( - \infty; + \infty).\]