(3x+9)/(16x+9)=8/19

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Solution for (3x+9)/(16x+9)=8/19 equation: 


D( x )

16*x+9 = 0

16*x+9 = 0

16*x+9 = 0

16*x+9 = 0 // - 9

16*x = -9 // : 16

x = -9/16

x in (-oo:-9/16) U (-9/16:+oo)

(3*x+9)/(16*x+9) = 8/19 // - 8/19

(3*x+9)/(16*x+9)-(8/19) = 0

(3*x+9)/(16*x+9)-8/19 = 0

(19*(3*x+9))/(19*(16*x+9))+(-8*(16*x+9))/(19*(16*x+9)) = 0

19*(3*x+9)-8*(16*x+9) = 0

99-71*x = 0

(99-71*x)/(19*(16*x+9)) = 0

(99-71*x)/(19*(16*x+9)) = 0 // * 19*(16*x+9)

99-71*x = 0

99-71*x = 0 // - 99

-71*x = -99 // : -71

x = -99/(-71)

x = 99/71

x = 99/71

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