5/7=(5b+9)/(b-8)

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Solution for 5/7=(5b+9)/(b-8) equation: 


D( b )

b-8 = 0

b-8 = 0

b-8 = 0

b-8 = 0 // + 8

b = 8

b in (-oo:8) U (8:+oo)

5/7 = (5*b+9)/(b-8) // - (5*b+9)/(b-8)

5/7-((5*b+9)/(b-8)) = 0

(-1*(5*b+9))/(b-8)+5/7 = 0

(-1*7*(5*b+9))/(7*(b-8))+(5*(b-8))/(7*(b-8)) = 0

5*(b-8)-1*7*(5*b+9) = 0

-30*b-103 = 0

(-30*b-103)/(7*(b-8)) = 0

(-30*b-103)/(7*(b-8)) = 0 // * 7*(b-8)

-30*b-103 = 0

-30*b-103 = 0 // + 103

-30*b = 103 // : -30

b = 103/(-30)

b = -103/30

b = -103/30

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