6-(5/(w+3))=(-6/(w-1))

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Solution for 6-(5/(w+3))=(-6/(w-1)) equation: 


D( w )

w+3 = 0

w-1 = 0

w+3 = 0

w+3 = 0

w+3 = 0 // - 3

w = -3

w-1 = 0

w-1 = 0

w-1 = 0 // + 1

w = 1

w in (-oo:-3) U (-3:1) U (1:+oo)

6-(5/(w+3)) = -6/(w-1) // + -6/(w-1)

6-(5/(w+3))-(-6/(w-1)) = 0

6*(w-1)^-1-5*(w+3)^-1+6 = 0

6/(w-1)-5/(w+3)+6 = 0

(-5*(w-1))/((w+3)*(w-1))+(6*(w+3))/((w+3)*(w-1))+(6*(w+3)*(w-1))/((w+3)*(w-1)) = 0

6*(w+3)-5*(w-1)+6*(w+3)*(w-1) = 0

6*w^2+w+12*w-18+23 = 0

6*w^2+13*w+5 = 0

6*w^2+13*w+5 = 0

6*w^2+13*w+5 = 0

DELTA = 13^2-(4*5*6)

DELTA = 49

DELTA > 0

w = (49^(1/2)-13)/(2*6) or w = (-49^(1/2)-13)/(2*6)

w = -1/2 or w = -5/3

(w+5/3)*(w+1/2) = 0

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

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

(w+5/3)*(w+1/2) = 0

( w+1/2 )

w+1/2 = 0 // - 1/2

w = -1/2

( w+5/3 )

w+5/3 = 0 // - 5/3

w = -5/3

w in { -1/2, -5/3 }

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