(2x-1)/(x+9)=5/4

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Solution for (2x-1)/(x+9)=5/4 equation: 


D( x )

x+9 = 0

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

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

(2*x-1)/(x+9) = 5/4 // - 5/4

(2*x-1)/(x+9)-(5/4) = 0

(2*x-1)/(x+9)-5/4 = 0

(4*(2*x-1))/(4*(x+9))+(-5*(x+9))/(4*(x+9)) = 0

4*(2*x-1)-5*(x+9) = 0

3*x-49 = 0

(3*x-49)/(4*(x+9)) = 0

(3*x-49)/(4*(x+9)) = 0 // * 4*(x+9)

3*x-49 = 0

3*x-49 = 0 // + 49

3*x = 49 // : 3

x = 49/3

x = 49/3

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