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w in (-oo:+oo)
w*((5*(1-(2*w)))/8) = 15 // - 15
w*((5*(1-(2*w)))/8)-15 = 0
w*((5*(1-2*w))/8)-15 = 0
(5*w*(1-2*w))/8-15 = 0
(5*w*(1-2*w))/8+(-15*8)/8 = 0
5*w*(1-2*w)-15*8 = 0
5*w-10*w^2-120 = 0
5*w-10*w^2-120 = 0
5*(w-2*w^2-24) = 0
w-2*w^2-24 = 0
DELTA = 1^2-(-24*(-2)*4)
DELTA = -191
DELTA < 0
5 = 0
5/8 = 0
5/8 = 0 // * 8
5 = 0
w belongs to the empty set
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