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

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Solution for -(7/(w+4))=-4+(1/(w+1)) equation: 


D( w )

w+1 = 0

w+4 = 0

w+1 = 0

w+1 = 0

w+1 = 0 // - 1

w = -1

w+4 = 0

w+4 = 0

w+4 = 0 // - 4

w = -4

w in (-oo:-4) U (-4:-1) U (-1:+oo)

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

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

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

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

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

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

4*w^2-8*w+20*w-11+16 = 0

4*w^2+12*w+5 = 0

4*w^2+12*w+5 = 0

4*w^2+12*w+5 = 0

DELTA = 12^2-(4*4*5)

DELTA = 64

DELTA > 0

w = (64^(1/2)-12)/(2*4) or w = (-64^(1/2)-12)/(2*4)

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

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

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

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

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

( w+1/2 )

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

w = -1/2

( w+5/2 )

w+5/2 = 0 // - 5/2

w = -5/2

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

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