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D( x )
x+6 = 0
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:+oo)
(2*x^2+16*x+20)/(x+6) = 0
2*x^2+16*x+20 = 0
2*(x^2+8*x+10) = 0
x^2+8*x+10 = 0
DELTA = 8^2-(1*4*10)
DELTA = 24
DELTA > 0
x = (24^(1/2)-8)/(1*2) or x = (-24^(1/2)-8)/(1*2)
x = (2*6^(1/2)-8)/2 or x = (-2*6^(1/2)-8)/2
2*(x-((-2*6^(1/2)-8)/2))*(x-((2*6^(1/2)-8)/2)) = 0
(2*(x-((-2*6^(1/2)-8)/2))*(x-((2*6^(1/2)-8)/2)))/(x+6) = 0
( x-((-2*6^(1/2)-8)/2) )
x-((-2*6^(1/2)-8)/2) = 0 // + (-2*6^(1/2)-8)/2
x = (-2*6^(1/2)-8)/2
( x-((2*6^(1/2)-8)/2) )
x-((2*6^(1/2)-8)/2) = 0 // + (2*6^(1/2)-8)/2
x = (2*6^(1/2)-8)/2
x in { (-2*6^(1/2)-8)/2, (2*6^(1/2)-8)/2 }
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