(5/x+3)(x^3+3x^2/15x^2)

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Solution for (5/x+3)(x^3+3x^2/15x^2) equation: 


D( x )

x = 0

x = 0

x = 0

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

(5/x+3)*(((3*x^2)/15)*x^2+x^3) = 0

(5*x^-1+3)*(1/5*x^4+x^3) = 0

1/5*x^4+x^3 = 0

x^3*(1/5*x+1) = 0

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

1/5*x = -1 // : 1/5

x = -1/1/5

x = -5

x^3*(x+5) = 0

x^3*(5*x^-1+3)*(x+5) = 0

( 5*x^-1+3 )

5*x^-1 = -3 // : 5

x^-1 = -3/5

-1 < 0

1/(x^1) = -3/5 // * x^1

1 = -3/5*x^1 // : -3/5

-5/3 = x^1

x = -5/3

( x+5 )

x+5 = 0 // - 5

x = -5

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0} 

x in { -5/3, -5 }

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