7-1/2x=3x^2

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Solution for 7-1/2x=3x^2 equation: 


x in (-oo:+oo)

7-((1/2)*x) = 3*x^2 // - 3*x^2

7-(3*x^2)-((1/2)*x) = 0

(-1/2)*x-3*x^2+7 = 0

7-3*x^2-1/2*x = 0

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

DELTA = 337/4

DELTA > 0

x = ((337/4)^(1/2)+1/2)/(-3*2) or x = (1/2-(337/4)^(1/2))/(-3*2)

x = ((337/4)^(1/2)+1/2)/(-6) or x = (1/2-(337/4)^(1/2))/(-6)

x in { ((337/4)^(1/2)+1/2)/(-6), (1/2-(337/4)^(1/2))/(-6) }

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