9z+11/(z+8)-6z+7/(z+8)

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Solution for 9z+11/(z+8)-6z+7/(z+8) equation: 


D( z )

z+8 = 0

z+8 = 0

z+8 = 0

z+8 = 0 // - 8

z = -8

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

11/(z+8)+7/(z+8)+9*z-(6*z) = 0

11/(z+8)+7/(z+8)+9*z-6*z = 0

11/(z+8)+7/(z+8)+(9*z*(z+8))/(z+8)+(-6*z*(z+8))/(z+8) = 0

9*z*(z+8)-6*z*(z+8)+7+11 = 0

9*z^2-6*z^2+72*z-48*z+18 = 0

3*z^2+24*z+18 = 0

3*z^2+24*z+18 = 0

3*(z^2+8*z+6) = 0

z^2+8*z+6 = 0

DELTA = 8^2-(1*4*6)

DELTA = 40

DELTA > 0

z = (40^(1/2)-8)/(1*2) or z = (-40^(1/2)-8)/(1*2)

z = (2*10^(1/2)-8)/2 or z = (-2*10^(1/2)-8)/2

3*(z-((-2*10^(1/2)-8)/2))*(z-((2*10^(1/2)-8)/2)) = 0

(3*(z-((-2*10^(1/2)-8)/2))*(z-((2*10^(1/2)-8)/2)))/(z+8) = 0

(3*(z-((-2*10^(1/2)-8)/2))*(z-((2*10^(1/2)-8)/2)))/(z+8) = 0 // * z+8

3*(z-((-2*10^(1/2)-8)/2))*(z-((2*10^(1/2)-8)/2)) = 0

( z-((-2*10^(1/2)-8)/2) )

z-((-2*10^(1/2)-8)/2) = 0 // + (-2*10^(1/2)-8)/2

z = (-2*10^(1/2)-8)/2

( z-((2*10^(1/2)-8)/2) )

z-((2*10^(1/2)-8)/2) = 0 // + (2*10^(1/2)-8)/2

z = (2*10^(1/2)-8)/2

z in { (-2*10^(1/2)-8)/2, (2*10^(1/2)-8)/2 }

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