$(x^2 + 14x + 24)(x^2 + 10x + 24) - 165.x^2 = 0$
$=>x^4 + 24x^3 + 23x^2 + 576x + 576 = 0$
$=>x^3(x+1) + 23x^2(x+1) + 576(x+1) = 0$
$=>(x+1)(x^3 + 24x^2 - x^2 + 576) = 0$
$=>(x+1)[x^2(x+24) - (x-24)(x+24)] = 0$
$=>(x+1)(x+24)(x^2 - x+24) = 0$
$=>x + 1 = 0$
$x + 24 = 0$
$x^2 - x + 24 = 0$ (vô lí)
$=> x$ € {$-1, -24$}