(2/(3x-7))=(9/(5x+6))

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Solution for (2/(3x-7))=(9/(5x+6)) equation:


D( x )

5*x+6 = 0

3*x-7 = 0

5*x+6 = 0

5*x+6 = 0

5*x+6 = 0 // - 6

5*x = -6 // : 5

x = -6/5

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0 // + 7

3*x = 7 // : 3

x = 7/3

x in (-oo:-6/5) U (-6/5:7/3) U (7/3:+oo)

2/(3*x-7) = 9/(5*x+6) // - 9/(5*x+6)

2/(3*x-7)-(9/(5*x+6)) = 0

2/(3*x-7)-9*(5*x+6)^-1 = 0

2/(3*x-7)-9/(5*x+6) = 0

(2*(5*x+6))/((3*x-7)*(5*x+6))+(-9*(3*x-7))/((3*x-7)*(5*x+6)) = 0

2*(5*x+6)-9*(3*x-7) = 0

75-17*x = 0

(75-17*x)/((3*x-7)*(5*x+6)) = 0

(75-17*x)/((3*x-7)*(5*x+6)) = 0 // * (3*x-7)*(5*x+6)

75-17*x = 0

75-17*x = 0 // - 75

-17*x = -75 // : -17

x = -75/(-17)

x = 75/17

x = 75/17

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