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

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Solution for 0=((2x-1)/(x+2))-((x+1)/(x-1))-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)

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

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

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

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

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

2*x^2-x^2+6*x+2*x-4+1 = 0

x^2+8*x-3 = 0

x^2+8*x-3 = 0

x^2+8*x-3 = 0

DELTA = 8^2-(-3*1*4)

DELTA = 76

DELTA > 0

x = (76^(1/2)-8)/(1*2) or x = (-76^(1/2)-8)/(1*2)

x = (2*19^(1/2)-8)/2 or x = (-2*19^(1/2)-8)/2

(x-((-2*19^(1/2)-8)/2))*(x-((2*19^(1/2)-8)/2)) = 0

((x-((-2*19^(1/2)-8)/2))*(x-((2*19^(1/2)-8)/2)))/((x+2)*(x-1)) = 0

((x-((-2*19^(1/2)-8)/2))*(x-((2*19^(1/2)-8)/2)))/((x+2)*(x-1)) = 0 // * (x+2)*(x-1)

(x-((-2*19^(1/2)-8)/2))*(x-((2*19^(1/2)-8)/2)) = 0

( x-((-2*19^(1/2)-8)/2) )

x-((-2*19^(1/2)-8)/2) = 0 // + (-2*19^(1/2)-8)/2

x = (-2*19^(1/2)-8)/2

( x-((2*19^(1/2)-8)/2) )

x-((2*19^(1/2)-8)/2) = 0 // + (2*19^(1/2)-8)/2

x = (2*19^(1/2)-8)/2

x in { (-2*19^(1/2)-8)/2, (2*19^(1/2)-8)/2 }

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