1/x-2/(x+1)=3/6x

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Solution for 1/x-2/(x+1)=3/6x equation:


D( x )

x = 0

x+1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:0) U (0:+oo)

t_1 = 0

t_1-2*(x+1)^-1-1/2*x+x^-1 = 0

t_1-2/(x+1)-x/2+1/x = 0

(-2*2*x)/(2*x*(x+1))+(2*t_1*x*(x+1))/(2*x*(x+1))+(-x*x*(x+1))/(2*x*(x+1))+(1*2*(x+1))/(2*x*(x+1)) = 0

2*t_1*x*(x+1)-x*x*(x+1)+1*2*(x+1)-2*2*x = 0

2*t_1*x^2+2*t_1*x-x^3-x^2-4*x+2*x+2 = 0

2*t_1*x^2+2*t_1*x-x^3-x^2-2*x+2 = 0

2*t_1*x^2+2*t_1*x-x^3-x^2-2*x+2 = 0

2*t_1*x^2+2*t_1*x-x^3-x^2-2*x+2

2*t_1*x*(x+1)-x^3-x^2-2*x+2

2*t_1*x*(x+1)-x^2*(x+1)-2*x+2

2*(1-x)-x^2*(x+1)+2*t_1*x*(x+1)

(2*t_1*x-x^2)*(x+1)+2*(1-x)

3*(2*t_1*x-x^2)

(3*(2*t_1*x-x^2))/(2*x*(x+1)) = 0

(3*(2*t_1*x-x^2))/(2*x*(x+1)) = 0 // * 2*x*(x+1)

3*(2*t_1*x-x^2) = 0

2*t_1*x-x^2 = 0

x*(2*t_1-x) = 0

2*t_1-x = 0 // - 2*t_1

-x = -(2*t_1) // * -1

x = 2*t_1

x*(x-2*t_1) = 0

3*x*(x-2*t_1) = 0

( x-2*t_1 )

x-2*t_1 = 0 // + -2*t_1

x = -(-2*t_1)

x = 2*t_1

( x )

x = 0

x in { 0*2}

x in { 0}

x belongs to the empty set

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