x/3-6/x=-7/3

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Solution for x/3-6/x=-7/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/3-(6/x) = -7/3 // + -7/3

x/3-(6/x)-(-7/3) = 0

x/3-6*x^-1+7/3 = 0

1/3*x^1-6*x^-1+7/3*x^0 = 0

(1/3*x^2+7/3*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1/3*x^2+7/3*x^1-6*x^0) = 0

x^1

(1/3)*x^2+(7/3)*x-6 = 0

(1/3)*x^2+(7/3)*x-6 = 0

DELTA = (7/3)^2-(-6*4*(1/3))

DELTA = 121/9

DELTA > 0

x = ((121/9)^(1/2)-(7/3))/(2*(1/3)) or x = (-(7/3)-(121/9)^(1/2))/(2*(1/3))

x = 2 or x = -9

x in { -9, 2} 

x in { -9, 2 }

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