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D( x )
x+1 = 0
9*x+9 = 0
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
9*x+9 = 0
9*x+9 = 0
9*x+9 = 0 // - 9
9*x = -9 // : 9
x = -9/9
x = -1
x in (-oo:-1) U (-1:+oo)
4/(9*x+9) = 6/(x+1)-(5/9) // - 6/(x+1)-(5/9)
4/(9*x+9)-(6/(x+1))+5/9 = 0
4/(9*x+9)-6*(x+1)^-1+5/9 = 0
4/(9*x+9)-6/(x+1)+5/9 = 0
(4*9*(x+1))/(9*(9*x+9)*(x+1))+(-6*9*(9*x+9))/(9*(9*x+9)*(x+1))+(5*(9*x+9)*(x+1))/(9*(9*x+9)*(x+1)) = 0
4*9*(x+1)-6*9*(9*x+9)+5*(9*x+9)*(x+1) = 0
45*x^2-450*x+90*x-450+45 = 0
45*x^2-360*x-405 = 0
45*x^2-360*x-405 = 0
45*(x^2-8*x-9) = 0
x^2-8*x-9 = 0
DELTA = (-8)^2-(-9*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+8)/(1*2) or x = (8-100^(1/2))/(1*2)
x = 9 or x = -1
45*(x+1)*(x-9) = 0
(45*(x+1)*(x-9))/(9*(9*x+9)*(x+1)) = 0
(45*(x+1)*(x-9))/(9*(9*x+9)*(x+1)) = 0 // * 9*(9*x+9)*(x+1)
45*(x+1)*(x-9) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-9 )
x-9 = 0 // + 9
x = 9
x in { -1}
x = 9
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