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