1/(w+1)=-4-(7/(w-2))

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Solution for 1/(w+1)=-4-(7/(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:-1) U (-1:2) U (2:+oo)

1/(w+1) = -(7/(w-2))-4 // + -(7/(w-2))-4

1/(w+1)+7/(w-2)+4 = 0

(1*(w-2))/((w+1)*(w-2))+(7*(w+1))/((w+1)*(w-2))+(4*(w+1)*(w-2))/((w+1)*(w-2)) = 0

1*(w-2)+7*(w+1)+4*(w+1)*(w-2) = 0

4*w^2+8*w-4*w-8+5 = 0

4*w^2+4*w-3 = 0

4*w^2+4*w-3 = 0

4*w^2+4*w-3 = 0

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

DELTA = 64

DELTA > 0

w = (64^(1/2)-4)/(2*4) or w = (-64^(1/2)-4)/(2*4)

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

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

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

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

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

( w+3/2 )

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

w = -3/2

( w-1/2 )

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

w = 1/2

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

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