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D( x )
5*x+30 = 0
x^2+x-2 = 0
16-(4*x) = 0
5*x+30 = 0
5*x+30 = 0
5*x+30 = 0 // - 30
5*x = -30 // : 5
x = -30/5
x = -6
x^2+x-2 = 0
x^2+x-2 = 0
x^2+x-2 = 0
DELTA = 1^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)
x = 1 or x = -2
16-(4*x) = 0
16-(4*x) = 0
16-4*x = 0
16-4*x = 0 // - 16
-4*x = -16 // : -4
x = -16/(-4)
x = 4
x in (-oo:-6) U (-6:-2) U (-2:1) U (1:4) U (4:+oo)
(((x^2-(2*x)-8)/(16-(4*x)))/(x^2+x-2))/(5*x+30) = 0
(((x^2-2*x-8)/(16-4*x))/(x^2+x-2))/(5*x+30) = 0
(x^2-2*x-8)/((16-4*x)*(x^2+x-2)*(5*x+30)) = 0
x^2-2*x-8 = 0
x^2-2*x-8 = 0
DELTA = (-2)^2-(-8*1*4)
DELTA = 36
DELTA > 0
x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)
x = 4 or x = -2
(x+2)*(x-4) = 0
x^2+x-2 = 0
x^2+x-2 = 0
DELTA = 1^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)
x = 1 or x = -2
(x+2)*(x-1) = 0
((x+2)*(x-4))/((16-4*x)*(x+2)*(x-1)*(5*x+30)) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -2}
x in { 4}
x belongs to the empty set
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