(2/x)-2=(12/7x)

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Solution for (2/x)-2=(12/7x) equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-2 = (12/7)*x // - (12/7)*x

2/x-((12/7)*x)-2 = 0

(-12/7)*x+2/x-2 = 0

2*x^-1-12/7*x^1-2*x^0 = 0

(2*x^0-12/7*x^2-2*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-12/7*x^2-2*x^1) = 0

x^1

(-12/7)*x^2-2*x+2 = 0

(-12/7)*x^2-2*x+2 = 0

DELTA = (-2)^2-(2*4*(-12/7))

DELTA = 124/7

DELTA > 0

x = ((124/7)^(1/2)+2)/(2*(-12/7)) or x = (2-(124/7)^(1/2))/(2*(-12/7))

x = -7/24*((124/7)^(1/2)+2) or x = -7/24*(2-(124/7)^(1/2))

x in { -7/24*((124/7)^(1/2)+2), -7/24*(2-(124/7)^(1/2))} 

x in { -7/24*((124/7)^(1/2)+2), -7/24*(2-(124/7)^(1/2)) }

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