(5w-120)*1/(2*2w)=-15/2w

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Solution for (5w-120)*1/(2*2w)=-15/2w equation:


D( w )

2*2*w = 0

2*2*w = 0

2*2*w = 0

4*w = 0 // : 4

w = 0

w in (-oo:0) U (0:+oo)

(1*(5*w-120))/(2*2*w) = (-15/2)*w // - (-15/2)*w

(1*(5*w-120))/(2*2*w)-((-15/2)*w) = 0

(5*w-120)/(2*2*w)+(15/2)*w = 0

(5*w-120)/(4*w)+(15*w)/2 = 0

(2*(5*w-120))/(2*4*w)+(4*15*w*w)/(2*4*w) = 0

2*(5*w-120)+4*15*w*w = 0

60*w^2+10*w-240 = 0

60*w^2+10*w-240 = 0

10*(6*w^2+w-24) = 0

6*w^2+w-24 = 0

DELTA = 1^2-(-24*4*6)

DELTA = 577

DELTA > 0

w = (577^(1/2)-1)/(2*6) or w = (-577^(1/2)-1)/(2*6)

w = (577^(1/2)-1)/12 or w = (-(577^(1/2)+1))/12

10*(w+(577^(1/2)+1)/12)*(w-((577^(1/2)-1)/12)) = 0

(10*(w+(577^(1/2)+1)/12)*(w-((577^(1/2)-1)/12)))/(2*4*w) = 0

(10*(w+(577^(1/2)+1)/12)*(w-((577^(1/2)-1)/12)))/(2*4*w) = 0 // * 2*4*w

10*(w+(577^(1/2)+1)/12)*(w-((577^(1/2)-1)/12)) = 0

( w+(577^(1/2)+1)/12 )

w+(577^(1/2)+1)/12 = 0 // - (577^(1/2)+1)/12

w = -((577^(1/2)+1)/12)

( w-((577^(1/2)-1)/12) )

w-((577^(1/2)-1)/12) = 0 // + (577^(1/2)-1)/12

w = (577^(1/2)-1)/12

w in { -((577^(1/2)+1)/12), (577^(1/2)-1)/12 }

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