(x^2-5x-5x^3+x^4)/(5+x)

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Solution for (x^2-5x-5x^3+x^4)/(5+x) equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:+oo)

(x^4-(5*x^3)+x^2-(5*x))/(x+5) = 0

(x^4-5*x^3+x^2-5*x)/(x+5) = 0

x^4-5*x^3+x^2-5*x = 0

x*(x^3-5*x^2+x-5) = 0

x^3-5*x^2+x-5

x^2*(x-5)+x-5

(x^2+1)*(x-5)

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

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

( x-5 )

x-5 = 0 // + 5

x = 5

( x )

x = 0

( x^2+1 )

1*x^2 = -1 // : 1

x^2 = -1

x in { 5, 0 }

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