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D( x )
x+2 = 0
2*x-1 = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x in (-oo:-2) U (-2:1/2) U (1/2:+oo)
x/(x+2)-(2/(2*x-1)) = 1/5 // - 1/5
x/(x+2)-(2/(2*x-1))-(1/5) = 0
x/(x+2)-2*(2*x-1)^-1-1/5 = 0
x/(x+2)-2/(2*x-1)-1/5 = 0
(5*x*(2*x-1))/(5*(x+2)*(2*x-1))+(-2*5*(x+2))/(5*(x+2)*(2*x-1))+(-1*(x+2)*(2*x-1))/(5*(x+2)*(2*x-1)) = 0
5*x*(2*x-1)-2*5*(x+2)-1*(x+2)*(2*x-1) = 0
10*x^2-2*x^2-15*x-3*x-20+2 = 0
8*x^2-18*x-18 = 0
8*x^2-18*x-18 = 0
2*(4*x^2-9*x-9) = 0
4*x^2-9*x-9 = 0
DELTA = (-9)^2-(-9*4*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)+9)/(2*4) or x = (9-225^(1/2))/(2*4)
x = 3 or x = -3/4
2*(x+3/4)*(x-3) = 0
(2*(x+3/4)*(x-3))/(5*(x+2)*(2*x-1)) = 0
(2*(x+3/4)*(x-3))/(5*(x+2)*(2*x-1)) = 0 // * 5*(x+2)*(2*x-1)
2*(x+3/4)*(x-3) = 0
( x+3/4 )
x+3/4 = 0 // - 3/4
x = -3/4
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -3/4, 3 }
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