\[\boxed{\text{506}\text{\ (506)}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[6x(x + 8) - (5x - 27)(x + 17) > 0\]
\[6x^{2} + 48x - 5x^{2} - 58x + 459 > 0\]
\[x^{2} - 10x + 459 > 0\]
\[(x - 5)^{2} + 434 > 0.\]