(6x+24/x^2)(5x+3/x+4)

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Solution for (6x+24/x^2)(5x+3/x+4) equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(6*x+24/(x^2))*(5*x+3/x+4) = 0

(6*x+24*x^-2)*(5*x+3*x^-1+4) = 0

6*x+24*x^-2 = 0

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

4*x^-3 = -1 // : 4

x^-3 = -1/4

-3 < 0

1/(x^3) = -1/4 // * x^3

1 = -1/4*x^3 // : -1/4

-4 = x^3

x^3 = -4 // ^ 1/3

x = -4^(1/3)

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

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

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

(5*x^2+4*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2+4*x^1+3*x^0) = 0

x^1

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

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

DELTA = 4^2-(3*4*5)

DELTA = -44

DELTA < 0

x in { } 

1 = 0

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

( 6*x )

6*x = 0 // : 6

x = 0

( x+4^(1/3) )

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

x = -4^(1/3)

x in { 0} 

x = -4^(1/3)

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