-4/(w+2)=-9+(2/(w+1))

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


D( w )

w+1 = 0

w+2 = 0

w+1 = 0

w+1 = 0

w+1 = 0 // - 1

w = -1

w+2 = 0

w+2 = 0

w+2 = 0 // - 2

w = -2

w in (-oo:-2) U (-2:-1) U (-1:+oo)

-4/(w+2) = 2/(w+1)-9 // - 2/(w+1)-9

9-4/(w+2)-(2/(w+1)) = 0

9-4/(w+2)-2*(w+1)^-1 = 0

9-4/(w+2)-2/(w+1) = 0

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

9*(w+2)*(w+1)-4*(w+1)-2*(w+2) = 0

9*w^2-6*w+27*w-8+18 = 0

9*w^2+21*w+10 = 0

9*w^2+21*w+10 = 0

9*w^2+21*w+10 = 0

DELTA = 21^2-(4*9*10)

DELTA = 81

DELTA > 0

w = (81^(1/2)-21)/(2*9) or w = (-81^(1/2)-21)/(2*9)

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

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

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

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

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

( w+2/3 )

w+2/3 = 0 // - 2/3

w = -2/3

( w+5/3 )

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

w = -5/3

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

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