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D( x )
x+2 = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x in (-oo:-2) U (-2:+oo)
t_1 = X^2-2
(40/(x+2))*(x+8)+t_1+28*x = 0
(40*(x+8))/(x+2)+t_1+28*x = 0
(40*(x+8))/(x+2)+(t_1*(x+2))/(x+2)+(28*x*(x+2))/(x+2) = 0
40*(x+8)+t_1*(x+2)+28*x*(x+2) = 0
t_1*x+2*t_1+28*x^2+40*x+56*x+320 = 0
t_1*x+2*t_1+28*x^2+96*x+320 = 0
(t_1*x+2*t_1+28*x^2+96*x+320)/(x+2) = 0
(t_1*x+2*t_1+28*x^2+96*x+320)/(x+2) = 0 // * x+2
t_1*x+2*t_1+28*x^2+96*x+320 = 0
2*t_1+28*x^2+96*x+320 = 0
DELTA = 96^2-(4*28*(2*t_1+320))
DELTA = 9216-112*(2*t_1+320)
9216-112*(2*t_1+320) = 0
9216-112*(2*t_1+320) = 0
-224*t_1-26624 = 0
-224*t_1-26624 = 0
-224*t_1-26624 = 0 // + 26624
-224*t_1 = 26624 // : -224
t_1 = 26624/(-224)
t_1 = -832/7
DELTA = 0 <=> t_4 = -832/7
x = -96/(2*28) i t_1 = -832/7
x = -12/7 i t_1 = -832/7
( x = ((9216-112*(2*t_1+320))^(1/2)-96)/(2*28) or x = (-(9216-112*(2*t_1+320))^(1/2)-96)/(2*28) ) i t_1 > -832/7
( x = ((9216-112*(2*t_1+320))^(1/2)-96)/56 or x = (-((9216-112*(2*t_1+320))^(1/2)+96))/56 ) i t_1 > -832/7
t_1+832/7 > 0
t_1+832/7 > 0 // - 832/7
t_1 > -832/7
x in { -12/7, ((9216-112*(2*(X^2-2)+320))^(1/2)-96)/56, (-((9216-112*(2*(X^2-2)+320))^(1/2)+96))/56 }
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