-8/(w+4)=(-3/4w+16)+2

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Solution for -8/(w+4)=(-3/4w+16)+2 equation:


D( w )

w+4 = 0

w+4 = 0

w+4 = 0

w+4 = 0 // - 4

w = -4

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

-8/(w+4) = (-3/4)*w+2+16 // - (-3/4)*w+2+16

-8/(w+4)-((-3/4)*w)-16-2 = 0

(3/4)*w-8/(w+4)-16-2 = 0

(3*w)/4-8/(w+4)-16-2 = 0

(-8*4)/(4*(w+4))+(3*w*(w+4))/(4*(w+4))+(-16*4*(w+4))/(4*(w+4))+(-2*4*(w+4))/(4*(w+4)) = 0

3*w*(w+4)-16*4*(w+4)-2*4*(w+4)-8*4 = 0

3*w^2+12*w-64*w-8*w-256-32-32 = 0

3*w^2-52*w-8*w-288-32 = 0

3*w^2-60*w-320 = 0

3*w^2-60*w-320 = 0

3*w^2-60*w-320 = 0

DELTA = (-60)^2-(-320*3*4)

DELTA = 7440

DELTA > 0

w = (7440^(1/2)+60)/(2*3) or w = (60-7440^(1/2))/(2*3)

w = (4*465^(1/2)+60)/6 or w = (60-4*465^(1/2))/6

(w-((60-4*465^(1/2))/6))*(w-((4*465^(1/2)+60)/6)) = 0

((w-((60-4*465^(1/2))/6))*(w-((4*465^(1/2)+60)/6)))/(4*(w+4)) = 0

((w-((60-4*465^(1/2))/6))*(w-((4*465^(1/2)+60)/6)))/(4*(w+4)) = 0 // * 4*(w+4)

(w-((60-4*465^(1/2))/6))*(w-((4*465^(1/2)+60)/6)) = 0

( w-((4*465^(1/2)+60)/6) )

w-((4*465^(1/2)+60)/6) = 0 // + (4*465^(1/2)+60)/6

w = (4*465^(1/2)+60)/6

( w-((60-4*465^(1/2))/6) )

w-((60-4*465^(1/2))/6) = 0 // + (60-4*465^(1/2))/6

w = (60-4*465^(1/2))/6

w in { (4*465^(1/2)+60)/6, (60-4*465^(1/2))/6 }

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