1/3w^2-1/2=5/18w

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Solution for 1/3w^2-1/2=5/18w equation: 


w in (-oo:+oo)

(1/3)*w^2-(1/2) = (5/18)*w // - (5/18)*w

(1/3)*w^2-((5/18)*w)-(1/2) = 0

(1/3)*w^2+(-5/18)*w-1/2 = 0

1/3*w^2-5/18*w-1/2 = 0

DELTA = (-5/18)^2-(-1/2*1/3*4)

DELTA = 241/324

DELTA > 0

w = ((241/324)^(1/2)+5/18)/(1/3*2) or w = (5/18-(241/324)^(1/2))/(1/3*2)

w = 3/2*((241/324)^(1/2)+5/18) or w = 3/2*(5/18-(241/324)^(1/2))

w in { 3/2*(5/18-(241/324)^(1/2)), 3/2*((241/324)^(1/2)+5/18) }

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