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

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Solution for 3/x-1/(x+2)=1 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-(1/(x+2)) = 1 // - 1

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

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

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

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

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

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

6-x^2 = 0

(6-x^2)/(x*(x+2)) = 0

(6-x^2)/(x*(x+2)) = 0 // * x*(x+2)

6-x^2 = 0

-1*x^2 = -6 // : -1

x^2 = 6

x^2 = 6 // ^ 1/2

abs(x) = 6^(1/2)

x = 6^(1/2) or x = -6^(1/2)

x in { 6^(1/2), -6^(1/2) }

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