32/x=x/2

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Solution for 32/x=x/2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

32/x = x/2 // - x/2

32/x-(x/2) = 0

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

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

x^1*(32*x^0-1/2*x^2) = 0

x^1

(-1/2)*x^2+32 = 0

(-1/2)*x^2+32 = 0

DELTA = 0^2-(4*32*(-1/2))

DELTA = 64

DELTA > 0

x = (64^(1/2)+0)/(2*(-1/2)) or x = (0-64^(1/2))/(2*(-1/2))

x = -8 or x = 8

x in { -8, 8} 

x in { -8, 8 }

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