1/2x^2+4x=0

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Solution for 1/2x^2+4x=0 equation: 


x in (-oo:+oo)

(1/2)*x^2+4*x = 0

1/2*x^2+4*x = 0

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

DELTA = 16

DELTA > 0

x = (16^(1/2)-4)/(1/2*2) or x = (-16^(1/2)-4)/(1/2*2)

x = 0 or x = -8

x in { -8, 0 }

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