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D( r )
r^2+6*r-7 = 0
r^2+3*r-4 = 0
r^2+6*r-7 = 0
r^2+6*r-7 = 0
r^2+6*r-7 = 0
DELTA = 6^2-(-7*1*4)
DELTA = 64
DELTA > 0
r = (64^(1/2)-6)/(1*2) or r = (-64^(1/2)-6)/(1*2)
r = 1 or r = -7
r^2+3*r-4 = 0
r^2+3*r-4 = 0
r^2+3*r-4 = 0
DELTA = 3^2-(-4*1*4)
DELTA = 25
DELTA > 0
r = (25^(1/2)-3)/(1*2) or r = (-25^(1/2)-3)/(1*2)
r = 1 or r = -4
r in (-oo:-7) U (-7:-4) U (-4:1) U (1:+oo)
(r+2)/(r^2+6*r-7) = 8/(r^2+3*r-4) // - 8/(r^2+3*r-4)
(r+2)/(r^2+6*r-7)-(8/(r^2+3*r-4)) = 0
(r+2)/(r^2+6*r-7)-8*(r^2+3*r-4)^-1 = 0
(r+2)/(r^2+6*r-7)-8/(r^2+3*r-4) = 0
r^2+6*r-7 = 0
r^2+6*r-7 = 0
r^2+6*r-7 = 0
DELTA = 6^2-(-7*1*4)
DELTA = 64
DELTA > 0
r = (64^(1/2)-6)/(1*2) or r = (-64^(1/2)-6)/(1*2)
r = 1 or r = -7
(r+7)*(r-1) = 0
r^2+3*r-4 = 0
r^2+3*r-4 = 0
r^2+3*r-4 = 0
DELTA = 3^2-(-4*1*4)
DELTA = 25
DELTA > 0
r = (25^(1/2)-3)/(1*2) or r = (-25^(1/2)-3)/(1*2)
r = 1 or r = -4
(r+4)*(r-1) = 0
(r+2)/((r+7)*(r-1))-8/((r+4)*(r-1)) = 0
((r+2)*(r+4))/((r+7)*(r-1)*(r+4))+(-8*(r+7))/((r+7)*(r-1)*(r+4)) = 0
(r+2)*(r+4)-8*(r+7) = 0
r^2-2*r-48 = 0
r^2-2*r-48 = 0
r^2-2*r-48 = 0
DELTA = (-2)^2-(-48*1*4)
DELTA = 196
DELTA > 0
r = (196^(1/2)+2)/(1*2) or r = (2-196^(1/2))/(1*2)
r = 8 or r = -6
(r+6)*(r-8) = 0
((r+6)*(r-8))/((r+7)*(r-1)*(r+4)) = 0
((r+6)*(r-8))/((r+7)*(r-1)*(r+4)) = 0 // * (r+7)*(r-1)*(r+4)
(r+6)*(r-8) = 0
( r+6 )
r+6 = 0 // - 6
r = -6
( r-8 )
r-8 = 0 // + 8
r = 8
r in { -6, 8 }
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