x=50x-1/2x^2

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Solution for x=50x-1/2x^2 equation: 


x in (-oo:+oo)

x = 50*x-((1/2)*x^2) // - 50*x-((1/2)*x^2)

(1/2)*x^2+x-(50*x) = 0

(1/2)*x^2+x-50*x = 0

1/2*x^2-49*x = 0

DELTA = (-49)^2-(0*1/2*4)

DELTA = 2401

DELTA > 0

x = (2401^(1/2)+49)/(1/2*2) or x = (49-2401^(1/2))/(1/2*2)

x = 98 or x = 0

x in { 0, 98 }

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