-5/(w+4)=-3/(4w+16)+1

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Solution for -5/(w+4)=-3/(4w+16)+1 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)

-5/(w+4) = 1-3/(4*w+16) // - 1-3/(4*w+16)

-5/(w+4)-(-3/(4*w+16))-1 = 0

3*(4*w+16)^-1-5/(w+4)-1 = 0

3/(4*w+16)-5/(w+4)-1 = 0

(-5*(4*w+16))/((w+4)*(4*w+16))+(3*(w+4))/((w+4)*(4*w+16))+(-1*(w+4)*(4*w+16))/((w+4)*(4*w+16)) = 0

3*(w+4)-5*(4*w+16)-1*(w+4)*(4*w+16) = 0

-4*w^2-17*w-32*w-68-64 = 0

-4*w^2-49*w-132 = 0

-4*w^2-49*w-132 = 0

-1*(4*w^2+49*w+132) = 0

4*w^2+49*w+132 = 0

DELTA = 49^2-(4*4*132)

DELTA = 289

DELTA > 0

w = (289^(1/2)-49)/(2*4) or w = (-289^(1/2)-49)/(2*4)

w = -4 or w = -33/4

-1*(w+33/4)*(w+4) = 0

(-1*(w+33/4)*(w+4))/((w+4)*(4*w+16)) = 0

(-1*(w+33/4)*(w+4))/((w+4)*(4*w+16)) = 0 // * (w+4)*(4*w+16)

-1*(w+33/4)*(w+4) = 0

( w+33/4 )

w+33/4 = 0 // - 33/4

w = -33/4

( w+4 )

w+4 = 0 // - 4

w = -4

w in { -4} 

w = -33/4

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