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

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


D( x )

x-5 = 0

x+5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

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

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

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

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

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

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

2*x^2-2*x^2-20*x-50 = 0

-20*x-50 = 0

(-20*x-50)/((x+5)*(x-5)) = 0

(-20*x-50)/((x+5)*(x-5)) = 0 // * (x+5)*(x-5)

-20*x-50 = 0

-20*x-50 = 0 // + 50

-20*x = 50 // : -20

x = 50/(-20)

x = -5/2

x = -5/2

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