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D( x )
x-4 = 0
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
(12/18)*x = 40/(x-4) // - 40/(x-4)
(12/18)*x-(40/(x-4)) = 0
(12/18)*x-40*(x-4)^-1 = 0
(2*x)/3-40/(x-4) = 0
(-40*3)/(3*(x-4))+(2*x*(x-4))/(3*(x-4)) = 0
2*x*(x-4)-40*3 = 0
2*x^2-8*x-120 = 0
2*x^2-8*x-120 = 0
2*(x^2-4*x-60) = 0
x^2-4*x-60 = 0
DELTA = (-4)^2-(-60*1*4)
DELTA = 256
DELTA > 0
x = (256^(1/2)+4)/(1*2) or x = (4-256^(1/2))/(1*2)
x = 10 or x = -6
2*(x+6)*(x-10) = 0
(2*(x+6)*(x-10))/(3*(x-4)) = 0
(2*(x+6)*(x-10))/(3*(x-4)) = 0 // * 3*(x-4)
2*(x+6)*(x-10) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-10 )
x-10 = 0 // + 10
x = 10
x in { -6, 10 }
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