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

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Solution for 3/(x+5)+2/(2x+4)=4/(x-2) equation: 


D( x )

x+5 = 0

x-2 = 0

2*x+4 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

2*x+4 = 0

2*x+4 = 0

2*x+4 = 0 // - 4

2*x = -4 // : 2

x = -4/2

x = -2

x in (-oo:-5) U (-5:-2) U (-2:2) U (2:+oo)

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

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

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

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

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

3*(2*x+4)*(x-2)+2*(x+5)*(x-2)-4*(x+5)*(2*x+4) = 0

8*x^2-8*x^2+6*x-56*x-80-44 = 0

-50*x-124 = 0

(-50*x-124)/((x+5)*(2*x+4)*(x-2)) = 0

(-50*x-124)/((x+5)*(2*x+4)*(x-2)) = 0 // * (x+5)*(2*x+4)*(x-2)

-50*x-124 = 0

-50*x-124 = 0 // + 124

-50*x = 124 // : -50

x = 124/(-50)

x = -62/25

x = -62/25

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