(2x^3+2x^4-128x-128)/(x^3)=0

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Solution for (2x^3+2x^4-128x-128)/(x^3)=0 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

(2*x^4+2*x^3-(128*x)-128)/(x^3) = 0

(2*x^4+2*x^3-128*x-128)/(x^3) = 0

2*x^4+2*x^3-128*x-128 = 0

2*(x^4+x^3-64*x-64) = 0

x^4+x^3-64*x-64

x^3*(x+1)-64*x-64

x^3*(x+1)-64*(x+1)

(x^3-64)*(x+1)

2*(x^3-64)*(x+1) = 0

(2*(x^3-64)*(x+1))/(x^3) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x^3-64 )

1*x^3 = 64 // : 1

x^3 = 64

x^3 = 64 // ^ 1/3

x = 4

x in { -1, 4 }

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