(5/(3x+1))-(27x/(3x-1))=-9

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Solution for (5/(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)

5/(3*x+1)-((27*x)/(3*x-1)) = -9 // + 9

5/(3*x+1)-((27*x)/(3*x-1))+9 = 0

5/(3*x+1)-27*x*(3*x-1)^-1+9 = 0

5/(3*x+1)+(-27*x)/(3*x-1)+9 = 0

(5*(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

5*(3*x-1)-27*x*(3*x+1)+9*(3*x+1)*(3*x-1) = 0

81*x^2-81*x^2-12*x-9-5 = 0

-12*x-14 = 0

(-12*x-14)/((3*x+1)*(3*x-1)) = 0

(-12*x-14)/((3*x+1)*(3*x-1)) = 0 // * (3*x+1)*(3*x-1)

-12*x-14 = 0

-12*x-14 = 0 // + 14

-12*x = 14 // : -12

x = 14/(-12)

x = -7/6

x = -7/6

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