(10x^2+2x)/((x-1)^2(X^2+2))

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Solution for (10x^2+2x)/((x-1)^2(X^2+2)) equation: 


D( x )

(x-1)^2*(X^2+2) = 0

(x-1)^2*(X^2+2) = 0

(x-1)^2*(X^2+2) = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(10*x^2+2*x)/((x-1)^2*(X^2+2)) = 0

10*x^2+2*x = 0

2*x*(5*x+1) = 0

5*x+1 = 0 // - 1

5*x = -1 // : 5

x = -1/5

2*x*(x+1/5) = 0

(2*x*(x+1/5))/((x-1)^2*(X^2+2)) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x+1/5 )

x+1/5 = 0 // - 1/5

x = -1/5

x in { 0, -1/5 }

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