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D( x )
2*x+4 = 0
2*x+4 = 0
2*x+4 = 0
2*x+4 = 0 // - 4
2*x = -4 // : 2
x = -4/2
x = -2
x in (-oo:-2) U (-2:+oo)
(3*x-1)/(2*x+4) = (x+1)/5 // - (x+1)/5
(3*x-1)/(2*x+4)-((x+1)/5) = 0
(3*x-1)/(2*x+4)+(-1*(x+1))/5 = 0
(5*(3*x-1))/(5*(2*x+4))+(-1*(x+1)*(2*x+4))/(5*(2*x+4)) = 0
5*(3*x-1)-1*(x+1)*(2*x+4) = 0
9*x-2*x^2-9 = 0
9*x-2*x^2-9 = 0
9*x-2*x^2-9 = 0
DELTA = 9^2-(-9*(-2)*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-9)/(-2*2) or x = (-9^(1/2)-9)/(-2*2)
x = 3/2 or x = 3
(x-3/2)*(x-3) = 0
((x-3/2)*(x-3))/(5*(2*x+4)) = 0
((x-3/2)*(x-3))/(5*(2*x+4)) = 0 // * 5*(2*x+4)
(x-3/2)*(x-3) = 0
( x-3/2 )
x-3/2 = 0 // + 3/2
x = 3/2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3/2, 3 }
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