50-((1/4)x)=3x^2

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Solution for 50-((1/4)x)=3x^2 equation: 


x in (-oo:+oo)

50-((1/4)*x) = 3*x^2 // - 3*x^2

50-(3*x^2)-((1/4)*x) = 0

(-1/4)*x-3*x^2+50 = 0

50-3*x^2-1/4*x = 0

DELTA = (-1/4)^2-(-3*4*50)

DELTA = 9601/16

DELTA > 0

x = ((9601/16)^(1/2)+1/4)/(-3*2) or x = (1/4-(9601/16)^(1/2))/(-3*2)

x = ((9601/16)^(1/2)+1/4)/(-6) or x = (1/4-(9601/16)^(1/2))/(-6)

x in { ((9601/16)^(1/2)+1/4)/(-6), (1/4-(9601/16)^(1/2))/(-6) }

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