(4/x^2)+(4/(x^2+x))

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


D( x )

x^2+x = 0

x^2 = 0

x^2+x = 0

x^2+x = 0

x^2+x = 0

DELTA = 1^2-(0*1*4)

DELTA = 1

DELTA > 0

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

x = 0 or x = -1

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:-1) U (-1:0) U (0:+oo)

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

x^2+x = 0

x^2+x = 0

x*(x+1) = 0

x+1 = 0 // - 1

x = -1

x*(x+1) = 0

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

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

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

8*x^2+4*x = 0

8*x^2+4*x = 0

4*x*(2*x+1) = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

4*x*(x+1/2) = 0

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

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

4*x*(x+1/2) = 0

( 4*x )

4*x = 0 // : 4

x = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

x in { 0} 

x = -1/2

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