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x in (-oo:+oo)
x*((2*(1-x)^1)/3) = 5*x+4 // - 5*x+4
x*((2*(1-x)^1)/3)-(5*x)-4 = 0
x*((2*(1-x))/3)-5*x-4 = 0
(2*x*(1-x))/3-5*x-4 = 0
(2*x*(1-x))/3+(-5*3*x)/3+(-4*3)/3 = 0
2*x*(1-x)-5*3*x-4*3 = 0
-2*x^2-13*x-12 = 0
-2*x^2-13*x-12 = 0
-1*(2*x^2+13*x+12) = 0
2*x^2+13*x+12 = 0
DELTA = 13^2-(2*4*12)
DELTA = 73
DELTA > 0
x = (73^(1/2)-13)/(2*2) or x = (-73^(1/2)-13)/(2*2)
x = (73^(1/2)-13)/4 or x = (-(73^(1/2)+13))/4
-1*(x+(73^(1/2)+13)/4)*(x-((73^(1/2)-13)/4)) = 0
(-1*(x+(73^(1/2)+13)/4)*(x-((73^(1/2)-13)/4)))/3 = 0
(-1*(x+(73^(1/2)+13)/4)*(x-((73^(1/2)-13)/4)))/3 = 0 // * 3
-1*(x+(73^(1/2)+13)/4)*(x-((73^(1/2)-13)/4)) = 0
( x+(73^(1/2)+13)/4 )
x+(73^(1/2)+13)/4 = 0 // - (73^(1/2)+13)/4
x = -((73^(1/2)+13)/4)
( x-((73^(1/2)-13)/4) )
x-((73^(1/2)-13)/4) = 0 // + (73^(1/2)-13)/4
x = (73^(1/2)-13)/4
x in { -((73^(1/2)+13)/4), (73^(1/2)-13)/4 }
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