(2z)/(z-2)-(3)/(z+5)=-1

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Solution for (2z)/(z-2)-(3)/(z+5)=-1 equation: 


D( z )

z-2 = 0

z+5 = 0

z-2 = 0

z-2 = 0

z-2 = 0 // + 2

z = 2

z+5 = 0

z+5 = 0

z+5 = 0 // - 5

z = -5

z in (-oo:-5) U (-5:2) U (2:+oo)

(2*z)/(z-2)-(3/(z+5)) = -1 // + 1

(2*z)/(z-2)-(3/(z+5))+1 = 0

(2*z)/(z-2)-3*(z+5)^-1+1 = 0

(2*z)/(z-2)-3/(z+5)+1 = 0

(2*z*(z+5))/((z-2)*(z+5))+(-3*(z-2))/((z-2)*(z+5))+(1*(z-2)*(z+5))/((z-2)*(z+5)) = 0

2*z*(z+5)-3*(z-2)+1*(z-2)*(z+5) = 0

2*z^2+z^2+7*z+3*z-10+6 = 0

3*z^2+10*z-4 = 0

3*z^2+10*z-4 = 0

3*z^2+10*z-4 = 0

DELTA = 10^2-(-4*3*4)

DELTA = 148

DELTA > 0

z = (148^(1/2)-10)/(2*3) or z = (-148^(1/2)-10)/(2*3)

z = (2*37^(1/2)-10)/6 or z = (-2*37^(1/2)-10)/6

(z-((-2*37^(1/2)-10)/6))*(z-((2*37^(1/2)-10)/6)) = 0

((z-((-2*37^(1/2)-10)/6))*(z-((2*37^(1/2)-10)/6)))/((z-2)*(z+5)) = 0

((z-((-2*37^(1/2)-10)/6))*(z-((2*37^(1/2)-10)/6)))/((z-2)*(z+5)) = 0 // * (z-2)*(z+5)

(z-((-2*37^(1/2)-10)/6))*(z-((2*37^(1/2)-10)/6)) = 0

( z-((-2*37^(1/2)-10)/6) )

z-((-2*37^(1/2)-10)/6) = 0 // + (-2*37^(1/2)-10)/6

z = (-2*37^(1/2)-10)/6

( z-((2*37^(1/2)-10)/6) )

z-((2*37^(1/2)-10)/6) = 0 // + (2*37^(1/2)-10)/6

z = (2*37^(1/2)-10)/6

z in { (-2*37^(1/2)-10)/6, (2*37^(1/2)-10)/6 }

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