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

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


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

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

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

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

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

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

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

2*x^2+4*x-6 = 0

2*x^2+4*x-6 = 0

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

x^2+2*x-3 = 0

DELTA = 2^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)

x = 1 or x = -3

2*(x+3)*(x-1) = 0

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

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

2*(x+3)*(x-1) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -3, 1 }

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