(2/(w-6))=-(5/(4w-24))+1

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Solution for (2/(w-6))=-(5/(4w-24))+1 equation:


D( w )

4*w-24 = 0

w-6 = 0

4*w-24 = 0

4*w-24 = 0

4*w-24 = 0 // + 24

4*w = 24 // : 4

w = 24/4

w = 6

w-6 = 0

w-6 = 0

w-6 = 0 // + 6

w = 6

w in (-oo:6) U (6:+oo)

2/(w-6) = 1-(5/(4*w-24)) // - 1-(5/(4*w-24))

2/(w-6)+5/(4*w-24)-1 = 0

(2*(4*w-24))/((w-6)*(4*w-24))+(5*(w-6))/((w-6)*(4*w-24))+(-1*(w-6)*(4*w-24))/((w-6)*(4*w-24)) = 0

2*(4*w-24)+5*(w-6)-1*(w-6)*(4*w-24) = 0

13*w-4*w^2+48*w-144-78 = 0

61*w-4*w^2-222 = 0

61*w-4*w^2-222 = 0

61*w-4*w^2-222 = 0

DELTA = 61^2-(-222*(-4)*4)

DELTA = 169

DELTA > 0

w = (169^(1/2)-61)/(-4*2) or w = (-169^(1/2)-61)/(-4*2)

w = 6 or w = 37/4

(w-6)*(w-37/4) = 0

((w-6)*(w-37/4))/((w-6)*(4*w-24)) = 0

((w-6)*(w-37/4))/((w-6)*(4*w-24)) = 0 // * (w-6)*(4*w-24)

(w-6)*(w-37/4) = 0

( w-37/4 )

w-37/4 = 0 // + 37/4

w = 37/4

( w-6 )

w-6 = 0 // + 6

w = 6

w in { 6}

w = 37/4

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