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D( k )
k-4 = 0
k+3 = 0
k-4 = 0
k-4 = 0
k-4 = 0 // + 4
k = 4
k+3 = 0
k+3 = 0
k+3 = 0 // - 3
k = -3
k in (-oo:-3) U (-3:4) U (4:+oo)
12/(k+3)+2 = -15/(k-4) // + -15/(k-4)
12/(k+3)-(-15/(k-4))+2 = 0
12/(k+3)+15*(k-4)^-1+2 = 0
12/(k+3)+15/(k-4)+2 = 0
(12*(k-4))/((k+3)*(k-4))+(15*(k+3))/((k+3)*(k-4))+(2*(k+3)*(k-4))/((k+3)*(k-4)) = 0
12*(k-4)+15*(k+3)+2*(k+3)*(k-4) = 0
2*k^2+27*k-2*k-24-3 = 0
2*k^2+25*k-27 = 0
2*k^2+25*k-27 = 0
2*k^2+25*k-27 = 0
DELTA = 25^2-(-27*2*4)
DELTA = 841
DELTA > 0
k = (841^(1/2)-25)/(2*2) or k = (-841^(1/2)-25)/(2*2)
k = 1 or k = -27/2
(k+27/2)*(k-1) = 0
((k+27/2)*(k-1))/((k+3)*(k-4)) = 0
((k+27/2)*(k-1))/((k+3)*(k-4)) = 0 // * (k+3)*(k-4)
(k+27/2)*(k-1) = 0
( k+27/2 )
k+27/2 = 0 // - 27/2
k = -27/2
( k-1 )
k-1 = 0 // + 1
k = 1
k in { -27/2, 1 }
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