((3/(4w+8))+1)=((-5/(w+2)))

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Solution for ((3/(4w+8))+1)=((-5/(w+2))) equation:


D( w )

4*w+8 = 0

w+2 = 0

4*w+8 = 0

4*w+8 = 0

4*w+8 = 0 // - 8

4*w = -8 // : 4

w = -8/4

w = -2

w+2 = 0

w+2 = 0

w+2 = 0 // - 2

w = -2

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

3/(4*w+8)+1 = -5/(w+2) // + -5/(w+2)

3/(4*w+8)-(-5/(w+2))+1 = 0

3/(4*w+8)+5*(w+2)^-1+1 = 0

3/(4*w+8)+5/(w+2)+1 = 0

(3*(w+2))/((4*w+8)*(w+2))+(5*(4*w+8))/((4*w+8)*(w+2))+(1*(4*w+8)*(w+2))/((4*w+8)*(w+2)) = 0

3*(w+2)+5*(4*w+8)+1*(4*w+8)*(w+2) = 0

4*w^2+23*w+16*w+16+46 = 0

4*w^2+39*w+62 = 0

4*w^2+39*w+62 = 0

4*w^2+39*w+62 = 0

DELTA = 39^2-(4*4*62)

DELTA = 529

DELTA > 0

w = (529^(1/2)-39)/(2*4) or w = (-529^(1/2)-39)/(2*4)

w = -2 or w = -31/4

(w+31/4)*(w+2) = 0

((w+31/4)*(w+2))/((4*w+8)*(w+2)) = 0

((w+31/4)*(w+2))/((4*w+8)*(w+2)) = 0 // * (4*w+8)*(w+2)

(w+31/4)*(w+2) = 0

( w+2 )

w+2 = 0 // - 2

w = -2

( w+31/4 )

w+31/4 = 0 // - 31/4

w = -31/4

w in { -2}

w = -31/4

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