(2-x)(x-3)(x^2-5x-14)≥ 100
-(x-2)(x-3)(x^2-5x-14)≥ 100
(x-2)(x-3)(x^2-5x-14)≤ -100
(x^2-5x+6)(x^2-5x-14)≤ -100
(x^2-5x)^2 - 8(x^2-5x) -84 ≤ -100
(x^2-5x)^2 - 8(x^2-5x) +16 ≤ 0
{(x^2-5x) - 4 }^2 ≤ 0
x^2-5x - 4 = 0
x= 【5±根号{(-5)^2-4*1*(-4)}】/2 = (5±根号41)/2