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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^2+4*x-2 = 0

DELTA = 4^2-(-2*1*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)-4)/(1*2) or x = (-24^(1/2)-4)/(1*2)

x = (2*6^(1/2)-4)/2 or x = (-2*6^(1/2)-4)/2

x*(x-((-2*6^(1/2)-4)/2))*(x-((2*6^(1/2)-4)/2)) = 0

(x*(x-((-2*6^(1/2)-4)/2))*(x-((2*6^(1/2)-4)/2)))/x = 0

(x*(x-((-2*6^(1/2)-4)/2))*(x-((2*6^(1/2)-4)/2)))/x = 0 // * x

x*(x-((-2*6^(1/2)-4)/2))*(x-((2*6^(1/2)-4)/2)) = 0

( x-((-2*6^(1/2)-4)/2) )

x-((-2*6^(1/2)-4)/2) = 0 // + (-2*6^(1/2)-4)/2

x = (-2*6^(1/2)-4)/2

( x-((2*6^(1/2)-4)/2) )

x-((2*6^(1/2)-4)/2) = 0 // + (2*6^(1/2)-4)/2

x = (2*6^(1/2)-4)/2

( x )

x = 0

x in { 0} 

x in { (-2*6^(1/2)-4)/2, (2*6^(1/2)-4)/2 }

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