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

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


D( x )

3*x = 0

x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

3*x^2-12*x^2+9*x = 0

9*x-9*x^2 = 0

9*x-9*x^2 = 0

9*x*(1-x) = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

9*x*(x-1) = 0

(9*x*(x-1))/(3*3*x*x) = 0

(9*x*(x-1))/(3*3*x*x) = 0 // * 3*3*x*x

9*x*(x-1) = 0

( 9*x )

9*x = 0 // : 9

x = 0

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 0}

x = 1

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