5/2x-1/2x^2=0

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Solution for 5/2x-1/2x^2=0 equation: 


x in (-oo:+oo)

(5/2)*x-((1/2)*x^2) = 0

(-1/2)*x^2+(5/2)*x = 0

5/2*x-1/2*x^2 = 0

DELTA = (5/2)^2-(-1/2*0*4)

DELTA = 25/4

DELTA > 0

x = ((25/4)^(1/2)-5/2)/(-1/2*2) or x = (-(25/4)^(1/2)-5/2)/(-1/2*2)

x = 0 or x = 5

x in { 0, 5 }

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