(7/(3x+1))-(27x/(3x-1))=-9

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Solution for (7/(3x+1))-(27x/(3x-1))=-9 equation:


D( x )

3*x-1 = 0

3*x+1 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

3*x+1 = 0

3*x+1 = 0

3*x+1 = 0 // - 1

3*x = -1 // : 3

x = -1/3

x in (-oo:-1/3) U (-1/3:1/3) U (1/3:+oo)

7/(3*x+1)-((27*x)/(3*x-1)) = -9 // + 9

7/(3*x+1)-((27*x)/(3*x-1))+9 = 0

7/(3*x+1)-27*x*(3*x-1)^-1+9 = 0

7/(3*x+1)+(-27*x)/(3*x-1)+9 = 0

(7*(3*x-1))/((3*x+1)*(3*x-1))+(-27*x*(3*x+1))/((3*x+1)*(3*x-1))+(9*(3*x+1)*(3*x-1))/((3*x+1)*(3*x-1)) = 0

7*(3*x-1)-27*x*(3*x+1)+9*(3*x+1)*(3*x-1) = 0

81*x^2-81*x^2-6*x-9-7 = 0

-6*x-16 = 0

(-6*x-16)/((3*x+1)*(3*x-1)) = 0

(-6*x-16)/((3*x+1)*(3*x-1)) = 0 // * (3*x+1)*(3*x-1)

-6*x-16 = 0

-6*x-16 = 0 // + 16

-6*x = 16 // : -6

x = 16/(-6)

x = -8/3

x = -8/3

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