(z+5)/(z-10)=11/8

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Solution for (z+5)/(z-10)=11/8 equation: 


D( z )

z-10 = 0

z-10 = 0

z-10 = 0

z-10 = 0 // + 10

z = 10

z in (-oo:10) U (10:+oo)

(z+5)/(z-10) = 11/8 // - 11/8

(z+5)/(z-10)-(11/8) = 0

(z+5)/(z-10)-11/8 = 0

(8*(z+5))/(8*(z-10))+(-11*(z-10))/(8*(z-10)) = 0

8*(z+5)-11*(z-10) = 0

150-3*z = 0

(150-3*z)/(8*(z-10)) = 0

(150-3*z)/(8*(z-10)) = 0 // * 8*(z-10)

150-3*z = 0

150-3*z = 0 // - 150

-3*z = -150 // : -3

z = -150/(-3)

z = 50

z = 50

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