2x^2=1/2x

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 1/4

DELTA > 0

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

x = 1/4 or x = 0

x in { 0, 1/4 }

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