2x/x-2+x/x+4=-(5)/(x+4)

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Solution for 2x/x-2+x/x+4=-(5)/(x+4) equation: 


D( x )

x+4 = 0

x = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x = 0

x = 0

x in (-oo:-4) U (-4:0) U (0:+oo)

x/x+(2*x)/x-2+4 = -(5/(x+4)) // + 5/(x+4)

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

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

5/(x+4)-2+1+2+4 = 0

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

2*(x+4)+1*(x+4)-2*(x+4)+4*(x+4)+5 = 0

2*x+x-2*x+4*x-8+4+13+16 = 0

3*x-2*x+4*x-8+16+17 = 0

x+4*x+9+16 = 0

5*x+25 = 0

(5*x+25)/(x+4) = 0

(5*x+25)/(x+4) = 0 // * x+4

5*x+25 = 0

5*x+25 = 0 // - 25

5*x = -25 // : 5

x = -25/5

x = -5

x = -5

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