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D( x )
x+3 = 0
x^2+2*x-3 = 0
x-1 = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x^2+2*x-3 = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:-3) U (-3:1) U (1:+oo)
(x+1)/(x-1) = 8/(x^2+2*x-3)-4/(x+3) // - 8/(x^2+2*x-3)-4/(x+3)
(x+1)/(x-1)-(-4/(x+3))-(8/(x^2+2*x-3)) = 0
(x+1)/(x-1)+4*(x+3)^-1-8*(x^2+2*x-3)^-1 = 0
(x+1)/(x-1)+4/(x+3)-8/(x^2+2*x-3) = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
(x+3)*(x-1) = 0
(x+1)/(x-1)+4/(x+3)-8/((x+3)*(x-1)) = 0
((x+1)*(x+3))/((x-1)*(x+3))+(4*(x-1))/((x-1)*(x+3))-8/((x-1)*(x+3)) = 0
(x+1)*(x+3)+4*(x-1)-8 = 0
x^2+8*x-8-1 = 0
x^2+8*x-9 = 0
x^2+8*x-9 = 0
x^2+8*x-9 = 0
DELTA = 8^2-(-9*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)-8)/(1*2) or x = (-100^(1/2)-8)/(1*2)
x = 1 or x = -9
(x+9)*(x-1) = 0
((x+9)*(x-1))/((x-1)*(x+3)) = 0
((x+9)*(x-1))/((x-1)*(x+3)) = 0 // * (x-1)*(x+3)
(x+9)*(x-1) = 0
( x+9 )
x+9 = 0 // - 9
x = -9
( x-1 )
x-1 = 0 // + 1
x = 1
x in { 1}
x = -9
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