(5x+13)/(5x+10)=(x+9)/(x+6)

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Solution for (5x+13)/(5x+10)=(x+9)/(x+6) equation: 


D( x )

5*x+10 = 0

x+6 = 0

5*x+10 = 0

5*x+10 = 0

5*x+10 = 0 // - 10

5*x = -10 // : 5

x = -10/5

x = -2

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:-2) U (-2:+oo)

(5*x+13)/(5*x+10) = (x+9)/(x+6) // - (x+9)/(x+6)

(5*x+13)/(5*x+10)-((x+9)/(x+6)) = 0

(5*x+13)/(5*x+10)+(-1*(x+9))/(x+6) = 0

((5*x+13)*(x+6))/((5*x+10)*(x+6))+(-1*(x+9)*(5*x+10))/((5*x+10)*(x+6)) = 0

(5*x+13)*(x+6)-1*(x+9)*(5*x+10) = 0

-12*x-12 = 0

(-12*x-12)/((5*x+10)*(x+6)) = 0

(-12*x-12)/((5*x+10)*(x+6)) = 0 // * (5*x+10)*(x+6)

-12*x-12 = 0

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

-12*x = 12 // : -12

x = 12/(-12)

x = -1

x = -1

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