x^3+6x^2+((28x^2+2x-10)/(x-5))<=2<br>(x^4+6x³-5x³-30x²+28x²+2x-10)/(x-5)-2≤0
(x^4+x³-2x²+2x-10-2x+10)/(x-5)≤0
(x^4+x³-2x²)/(x-5)≤0
x²(x²+x-2)/(x-5)≤0
x²+x-2=0⇒x1+x2=-1 U x1*x2=-2⇒x1=-2 U x2=1
x²(x+2)(x-1)/(x-5)≤0
x=0 x=-2 x=1 x=5
_ + + _ +
-------------[-2]--------------[0]--------------[1]---------------(5)--------------
x∈(-∞;-2] U [1;5) U {0}