(7/(2w+8))+4=-(3/w-4)

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Solution for (7/(2w+8))+4=-(3/w-4) equation:


D( w )

2*w+8 = 0

w = 0

2*w+8 = 0

2*w+8 = 0

2*w+8 = 0 // - 8

2*w = -8 // : 2

w = -8/2

w = -4

w = 0

w = 0

w in (-oo:-4) U (-4:0) U (0:+oo)

7/(2*w+8)+4 = -(3/w-4) // + 3/w-4

7/(2*w+8)+3/w-4+4 = 0

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

3*(2*w+8)-4*w*(2*w+8)+4*w*(2*w+8)+7*w = 0

8*w^2-8*w^2+13*w-32*w+32*w+24 = 0

8*w^2-8*w^2-19*w+32*w+24 = 0

13*w+24 = 0

(13*w+24)/(w*(2*w+8)) = 0

(13*w+24)/(w*(2*w+8)) = 0 // * w*(2*w+8)

13*w+24 = 0

13*w+24 = 0 // - 24

13*w = -24 // : 13

w = -24/13

w = -24/13

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