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D( x )
45*x^2+41*x-72 = 0
3*x^2-x-4 = 0
x+1 = 0
45*x^2+41*x-72 = 0
45*x^2+41*x-72 = 0
45*x^2+41*x-72 = 0
DELTA = 41^2-(-72*4*45)
DELTA = 14641
DELTA > 0
x = (14641^(1/2)-41)/(2*45) or x = (-14641^(1/2)-41)/(2*45)
x = 8/9 or x = -9/5
3*x^2-x-4 = 0
3*x^2-x-4 = 0
3*x^2-x-4 = 0
DELTA = (-1)^2-(-4*3*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+1)/(2*3) or x = (1-49^(1/2))/(2*3)
x = 4/3 or x = -1
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-9/5) U (-9/5:-1) U (-1:8/9) U (8/9:4/3) U (4/3:+oo)
(((5*x+9)/(3*x^2-x-4))/(45*x^2+41*x-72))/(x+1) = 0
(5*x+9)/((3*x^2-x-4)*(45*x^2+41*x-72)*(x+1)) = 0
3*x^2-x-4 = 0
3*x^2-x-4 = 0
DELTA = (-1)^2-(-4*3*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+1)/(2*3) or x = (1-49^(1/2))/(2*3)
x = 4/3 or x = -1
(x+1)*(x-4/3) = 0
45*x^2+41*x-72 = 0
45*x^2+41*x-72 = 0
DELTA = 41^2-(-72*4*45)
DELTA = 14641
DELTA > 0
x = (14641^(1/2)-41)/(2*45) or x = (-14641^(1/2)-41)/(2*45)
x = 8/9 or x = -9/5
(x+9/5)*(x-8/9) = 0
(5*x+9)/((x+1)^2*(x-4/3)*(x+9/5)*(x-8/9)) = 0
5*x+9 = 0 // - 9
5*x = -9 // : 5
x = -9/5
x in { -9/5}
x belongs to the empty set
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