x=3/2-(5/2)x-x^2

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Solution for x=3/2-(5/2)x-x^2 equation:


x in (-oo:+oo)

x = 3/2-x^2-((5/2)*x) // - 3/2-x^2-((5/2)*x)

x^2+x+(5/2)*x-(3/2) = 0

x^2+x+(5/2)*x-3/2 = 0

x^2+7/2*x-3/2 = 0

DELTA = (7/2)^2-(-3/2*1*4)

DELTA = 73/4

DELTA > 0

x = ((73/4)^(1/2)-7/2)/(1*2) or x = (-(73/4)^(1/2)-7/2)/(1*2)

x = ((73/4)^(1/2)-7/2)/2 or x = (-((73/4)^(1/2)+7/2))/2

x in { (-((73/4)^(1/2)+7/2))/2, ((73/4)^(1/2)-7/2)/2 }

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