(5x^3)/(7x^3+x^4)

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Solution for (5x^3)/(7x^3+x^4) equation: 


D( x )

x^4+7*x^3 = 0

x^4+7*x^3 = 0

x^4+7*x^3 = 0

x^4+7*x^3 = 0

x^3*(x+7) = 0

x+7 = 0 // - 7

x = -7

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in (-oo:-7) U (-7:0) U (0:+oo)

(5*x^3)/(x^4+7*x^3) = 0

x^4+7*x^3 = 0

x^3*(x+7) = 0

x+7 = 0 // - 7

x = -7

x^3*(x+7) = 0

(5*x^3)/(x^3*(x+7)) = 0

5*x^3 = 0 // : 5

x^3 = 0

x = 0

x in { 0} 

x belongs to the empty set

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