(w-4)/4w=1/5

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Solution for (w-4)/4w=1/5 equation:


w in (-oo:+oo)

w*((w-4)/4) = 1/5 // - 1/5

w*((w-4)/4)-(1/5) = 0

w*((w-4)/4)-1/5 = 0

(w*(w-4))/4-1/5 = 0

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

5*w*(w-4)-1*4 = 0

5*w^2-20*w-4 = 0

5*w^2-20*w-4 = 0

5*w^2-20*w-4 = 0

DELTA = (-20)^2-(-4*4*5)

DELTA = 480

DELTA > 0

w = (480^(1/2)+20)/(2*5) or w = (20-480^(1/2))/(2*5)

w = (4*30^(1/2)+20)/10 or w = (20-4*30^(1/2))/10

(w-((20-4*30^(1/2))/10))*(w-((4*30^(1/2)+20)/10)) = 0

((w-((20-4*30^(1/2))/10))*(w-((4*30^(1/2)+20)/10)))/(4*5) = 0

((w-((20-4*30^(1/2))/10))*(w-((4*30^(1/2)+20)/10)))/(4*5) = 0 // * 4*5

(w-((20-4*30^(1/2))/10))*(w-((4*30^(1/2)+20)/10)) = 0

( w-((20-4*30^(1/2))/10) )

w-((20-4*30^(1/2))/10) = 0 // + (20-4*30^(1/2))/10

w = (20-4*30^(1/2))/10

( w-((4*30^(1/2)+20)/10) )

w-((4*30^(1/2)+20)/10) = 0 // + (4*30^(1/2)+20)/10

w = (4*30^(1/2)+20)/10

w in { (20-4*30^(1/2))/10, (4*30^(1/2)+20)/10 }

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