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

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


D( x )

3*x = 0

x+1 = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

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

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

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

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

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

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

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

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

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

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

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

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

DELTA = 40

DELTA > 0

x = (40^(1/2)+4)/(-3*2) or x = (4-40^(1/2))/(-3*2)

x = (2*10^(1/2)+4)/(-6) or x = (4-2*10^(1/2))/(-6)

(x-((2*10^(1/2)+4)/(-6)))*(x-((4-2*10^(1/2))/(-6))) = 0

((x-((2*10^(1/2)+4)/(-6)))*(x-((4-2*10^(1/2))/(-6))))/(3*x*(x+1)) = 0

((x-((2*10^(1/2)+4)/(-6)))*(x-((4-2*10^(1/2))/(-6))))/(3*x*(x+1)) = 0 // * 3*x*(x+1)

(x-((2*10^(1/2)+4)/(-6)))*(x-((4-2*10^(1/2))/(-6))) = 0

( x-((2*10^(1/2)+4)/(-6)) )

x-((2*10^(1/2)+4)/(-6)) = 0 // + (2*10^(1/2)+4)/(-6)

x = (2*10^(1/2)+4)/(-6)

( x-((4-2*10^(1/2))/(-6)) )

x-((4-2*10^(1/2))/(-6)) = 0 // + (4-2*10^(1/2))/(-6)

x = (4-2*10^(1/2))/(-6)

x in { (2*10^(1/2)+4)/(-6), (4-2*10^(1/2))/(-6) }

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