x/24=8/(3x)

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Solution for x/24=8/(3x) equation: 


D( x )

3*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

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

x/24 = 8/(3*x) // - 8/(3*x)

x/24-(8/(3*x)) = 0

x/24+(-8/3)*x^-1 = 0

1/24*x^1-8/3*x^-1 = 0

(1/24*x^2-8/3*x^0)/(x^1) = 0 // * x^2

x^1*(1/24*x^2-8/3*x^0) = 0

x^1

(1/24)*x^2-8/3 = 0

(1/24)*x^2-8/3 = 0

DELTA = 0^2-(4*(1/24)*(-8/3))

DELTA = 4/9

DELTA > 0

x = ((4/9)^(1/2)+0)/(2*(1/24)) or x = (0-(4/9)^(1/2))/(2*(1/24))

x = 8 or x = -8

x in { -8, 8} 

x in { -8, 8 }

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