7/(6x-5)=2/(9x)

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Solution for 7/(6x-5)=2/(9x) equation:


D( x )

9*x = 0

6*x-5 = 0

9*x = 0

9*x = 0

9*x = 0 // : 9

x = 0

6*x-5 = 0

6*x-5 = 0

6*x-5 = 0 // + 5

6*x = 5 // : 6

x = 5/6

x in (-oo:0) U (0:5/6) U (5/6:+oo)

7/(6*x-5) = 2/(9*x) // - 2/(9*x)

7/(6*x-5)-(2/(9*x)) = 0

7/(6*x-5)+(-2/9)*x^-1 = 0

7/(6*x-5)-2/(9*x) = 0

(7*9*x)/(9*x*(6*x-5))+(-2*(6*x-5))/(9*x*(6*x-5)) = 0

7*9*x-2*(6*x-5) = 0

51*x+10 = 0

(51*x+10)/(9*x*(6*x-5)) = 0

(51*x+10)/(9*x*(6*x-5)) = 0 // * 9*x*(6*x-5)

51*x+10 = 0

51*x+10 = 0 // - 10

51*x = -10 // : 51

x = -10/51

x = -10/51

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