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