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D( x )
x+5 = 0
3*x+2 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
3*x+2 = 0
3*x+2 = 0
3*x+2 = 0 // - 2
3*x = -2 // : 3
x = -2/3
x in (-oo:-5) U (-5:-2/3) U (-2/3:+oo)
(2*x+4)/(x+5) = 7/(3*x+2) // - 7/(3*x+2)
(2*x+4)/(x+5)-(7/(3*x+2)) = 0
(2*x+4)/(x+5)-7*(3*x+2)^-1 = 0
(2*x+4)/(x+5)-7/(3*x+2) = 0
((2*x+4)*(3*x+2))/((x+5)*(3*x+2))+(-7*(x+5))/((x+5)*(3*x+2)) = 0
(2*x+4)*(3*x+2)-7*(x+5) = 0
6*x^2+9*x-27 = 0
6*x^2+9*x-27 = 0
3*(2*x^2+3*x-9) = 0
2*x^2+3*x-9 = 0
DELTA = 3^2-(-9*2*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-3)/(2*2) or x = (-81^(1/2)-3)/(2*2)
x = 3/2 or x = -3
3*(x+3)*(x-3/2) = 0
(3*(x+3)*(x-3/2))/((x+5)*(3*x+2)) = 0
(3*(x+3)*(x-3/2))/((x+5)*(3*x+2)) = 0 // * (x+5)*(3*x+2)
3*(x+3)*(x-3/2) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-3/2 )
x-3/2 = 0 // + 3/2
x = 3/2
x in { -3, 3/2 }
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