8/(9x+9)=4/(x+1)-2/9

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Solution for 8/(9x+9)=4/(x+1)-2/9 equation:


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)

8/(9*x+9) = 4/(x+1)-(2/9) // - 4/(x+1)-(2/9)

8/(9*x+9)-(4/(x+1))+2/9 = 0

8/(9*x+9)-4*(x+1)^-1+2/9 = 0

8/(9*x+9)-4/(x+1)+2/9 = 0

(8*9*(x+1))/(9*(9*x+9)*(x+1))+(-4*9*(9*x+9))/(9*(9*x+9)*(x+1))+(2*(9*x+9)*(x+1))/(9*(9*x+9)*(x+1)) = 0

8*9*(x+1)-4*9*(9*x+9)+2*(9*x+9)*(x+1) = 0

18*x^2-252*x+36*x-252+18 = 0

18*x^2-216*x-234 = 0

18*x^2-216*x-234 = 0

18*(x^2-12*x-13) = 0

x^2-12*x-13 = 0

DELTA = (-12)^2-(-13*1*4)

DELTA = 196

DELTA > 0

x = (196^(1/2)+12)/(1*2) or x = (12-196^(1/2))/(1*2)

x = 13 or x = -1

18*(x+1)*(x-13) = 0

(18*(x+1)*(x-13))/(9*(9*x+9)*(x+1)) = 0

(18*(x+1)*(x-13))/(9*(9*x+9)*(x+1)) = 0 // * 9*(9*x+9)*(x+1)

18*(x+1)*(x-13) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-13 )

x-13 = 0 // + 13

x = 13

x in { -1}

x = 13

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