-(3)/(w-3)=-(5)/(2w-6)+1

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Solution for -(3)/(w-3)=-(5)/(2w-6)+1 equation: 


D( w )

2*w-6 = 0

w-3 = 0

2*w-6 = 0

2*w-6 = 0

2*w-6 = 0 // + 6

2*w = 6 // : 2

w = 6/2

w = 3

w-3 = 0

w-3 = 0

w-3 = 0 // + 3

w = 3

w in (-oo:3) U (3:+oo)

-(3/(w-3)) = 1-(5/(2*w-6)) // - 1-(5/(2*w-6))

5/(2*w-6)-(3/(w-3))-1 = 0

5/(2*w-6)-3*(w-3)^-1-1 = 0

5/(2*w-6)-3/(w-3)-1 = 0

(-3*(2*w-6))/((w-3)*(2*w-6))+(5*(w-3))/((w-3)*(2*w-6))+(-1*(w-3)*(2*w-6))/((w-3)*(2*w-6)) = 0

5*(w-3)-3*(2*w-6)-1*(w-3)*(2*w-6) = 0

12*w-2*w^2-w-18+3 = 0

11*w-2*w^2-15 = 0

11*w-2*w^2-15 = 0

11*w-2*w^2-15 = 0

DELTA = 11^2-(-15*(-2)*4)

DELTA = 1

DELTA > 0

w = (1^(1/2)-11)/(-2*2) or w = (-1^(1/2)-11)/(-2*2)

w = 5/2 or w = 3

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

((w-5/2)*(w-3))/((w-3)*(2*w-6)) = 0

((w-5/2)*(w-3))/((w-3)*(2*w-6)) = 0 // * (w-3)*(2*w-6)

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

( w-3 )

w-3 = 0 // + 3

w = 3

( w-5/2 )

w-5/2 = 0 // + 5/2

w = 5/2

w in { 3} 

w = 5/2

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