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D( x )
x = 0
2*x+2 = 0
x = 0
x = 0
2*x+2 = 0
2*x+2 = 0
2*x+2 = 0 // - 2
2*x = -2 // : 2
x = -2/2
x = -1
x in (-oo:-1) U (-1:0) U (0:+oo)
6/x-(4/(2*x+2)) = 5 // - 5
6/x-(4/(2*x+2))-5 = 0
6/x-4*(2*x+2)^-1-5 = 0
6/x-4/(2*x+2)-5 = 0
(-4*x)/(x*(2*x+2))+(6*(2*x+2))/(x*(2*x+2))+(-5*x*(2*x+2))/(x*(2*x+2)) = 0
6*(2*x+2)-5*x*(2*x+2)-4*x = 0
8*x-10*x^2-10*x+12 = 0
12-10*x^2-2*x = 0
12-10*x^2-2*x = 0
2*(6-5*x^2-x) = 0
6-5*x^2-x = 0
DELTA = (-1)^2-(-5*4*6)
DELTA = 121
DELTA > 0
x = (121^(1/2)+1)/(-5*2) or x = (1-121^(1/2))/(-5*2)
x = -6/5 or x = 1
2*(x+6/5)*(x-1) = 0
(2*(x+6/5)*(x-1))/(x*(2*x+2)) = 0
(2*(x+6/5)*(x-1))/(x*(2*x+2)) = 0 // * x*(2*x+2)
2*(x+6/5)*(x-1) = 0
( x+6/5 )
x+6/5 = 0 // - 6/5
x = -6/5
( x-1 )
x-1 = 0 // + 1
x = 1
x in { -6/5, 1 }
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