-4/(w-1)=6-(5/(w+2))

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Solution for -4/(w-1)=6-(5/(w+2)) 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-1) = 6-(5/(w+2)) // - 6-(5/(w+2))

5/(w+2)-4/(w-1)-6 = 0

(-4*(w+2))/((w-1)*(w+2))+(5*(w-1))/((w-1)*(w+2))+(-6*(w-1)*(w+2))/((w-1)*(w+2)) = 0

5*(w-1)-4*(w+2)-6*(w-1)*(w+2) = 0

w-6*w^2-6*w-13+12 = 0

-6*w^2-5*w-1 = 0

-6*w^2-5*w-1 = 0

-1*(6*w^2+5*w+1) = 0

6*w^2+5*w+1 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

w = (1^(1/2)-5)/(2*6) or w = (-1^(1/2)-5)/(2*6)

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

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

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

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

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

( w+1/2 )

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

w = -1/2

( w+1/3 )

w+1/3 = 0 // - 1/3

w = -1/3

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

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