(3+w)/6w=(1/2w)+(4/3)

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Solution for (3+w)/6w=(1/2w)+(4/3) equation:


w in (-oo:+oo)

w*((w+3)/6) = (1/2)*w+4/3 // - (1/2)*w+4/3

w*((w+3)/6)-((1/2)*w)-(4/3) = 0

w*((w+3)/6)+(-1/2)*w-4/3 = 0

(w*(w+3))/6-w/2-4/3 = 0

(2*3*w*(w+3))/(2*3*6)+(3*6*(-w))/(2*3*6)+(-4*2*6)/(2*3*6) = 0

2*3*w*(w+3)+3*6*(-w)-4*2*6 = 0

6*w^2-48 = 0

(6*w^2-48)/(2*3*6) = 0

(6*w^2-48)/(2*3*6) = 0 // * 2*3*6

6*w^2-48 = 0

6*w^2 = 48 // : 6

w^2 = 8

w^2 = 8 // ^ 1/2

abs(w) = 2*2^(1/2)

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

w in { 2*2^(1/2), -(2*2^(1/2)) }

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