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

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

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

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

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

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

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

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

6*w^2-5*w+24*w-3+18 = 0

6*w^2+19*w+15 = 0

6*w^2+19*w+15 = 0

6*w^2+19*w+15 = 0

DELTA = 19^2-(4*6*15)

DELTA = 1

DELTA > 0

w = (1^(1/2)-19)/(2*6) or w = (-1^(1/2)-19)/(2*6)

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

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

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

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

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

( w+3/2 )

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

w = -3/2

( w+5/3 )

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

w = -5/3

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

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