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

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


D( x )

x+2 = 0

x+1 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-2) U (-2:-1) U (-1:+oo)

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

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

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

3*x^2+8*x+2 = 0

3*x^2+8*x+2 = 0

3*x^2+8*x+2 = 0

DELTA = 8^2-(2*3*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)-8)/(2*3) or x = (-40^(1/2)-8)/(2*3)

x = (2*10^(1/2)-8)/6 or x = (-2*10^(1/2)-8)/6

(x-((-2*10^(1/2)-8)/6))*(x-((2*10^(1/2)-8)/6)) = 0

((x-((-2*10^(1/2)-8)/6))*(x-((2*10^(1/2)-8)/6)))/((x+1)*(x+2)) = 0

((x-((-2*10^(1/2)-8)/6))*(x-((2*10^(1/2)-8)/6)))/((x+1)*(x+2)) = 0 // * (x+1)*(x+2)

(x-((-2*10^(1/2)-8)/6))*(x-((2*10^(1/2)-8)/6)) = 0

( x-((-2*10^(1/2)-8)/6) )

x-((-2*10^(1/2)-8)/6) = 0 // + (-2*10^(1/2)-8)/6

x = (-2*10^(1/2)-8)/6

( x-((2*10^(1/2)-8)/6) )

x-((2*10^(1/2)-8)/6) = 0 // + (2*10^(1/2)-8)/6

x = (2*10^(1/2)-8)/6

x in { (-2*10^(1/2)-8)/6, (2*10^(1/2)-8)/6 }

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