-7/(4w+16)+2=(-6)/(w+4)

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Solution for -7/(4w+16)+2=(-6)/(w+4) equation:


D( w )

4*w+16 = 0

w+4 = 0

4*w+16 = 0

4*w+16 = 0

4*w+16 = 0 // - 16

4*w = -16 // : 4

w = -16/4

w = -4

w+4 = 0

w+4 = 0

w+4 = 0 // - 4

w = -4

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

2-7/(4*w+16) = -6/(w+4) // + -6/(w+4)

2-7/(4*w+16)-(-6/(w+4)) = 0

6*(w+4)^-1-7/(4*w+16)+2 = 0

6/(w+4)-7/(4*w+16)+2 = 0

(-7*(w+4))/((4*w+16)*(w+4))+(6*(4*w+16))/((4*w+16)*(w+4))+(2*(4*w+16)*(w+4))/((4*w+16)*(w+4)) = 0

6*(4*w+16)-7*(w+4)+2*(4*w+16)*(w+4) = 0

8*w^2+17*w+64*w+68+128 = 0

8*w^2+81*w+196 = 0

8*w^2+81*w+196 = 0

8*w^2+81*w+196 = 0

DELTA = 81^2-(4*8*196)

DELTA = 289

DELTA > 0

w = (289^(1/2)-81)/(2*8) or w = (-289^(1/2)-81)/(2*8)

w = -4 or w = -49/8

(w+49/8)*(w+4) = 0

((w+49/8)*(w+4))/((4*w+16)*(w+4)) = 0

((w+49/8)*(w+4))/((4*w+16)*(w+4)) = 0 // * (4*w+16)*(w+4)

(w+49/8)*(w+4) = 0

( w+4 )

w+4 = 0 // - 4

w = -4

( w+49/8 )

w+49/8 = 0 // - 49/8

w = -49/8

w in { -4}

w = -49/8

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