(3/7+x)-(5/x)=4/7x

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Solution for (3/7+x)-(5/x)=4/7x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x)+3/7 = (4/7)*x // - (4/7)*x

x-((4/7)*x)-(5/x)+3/7 = 0

x+(-4/7)*x-5*x^-1+3/7 = 0

3/7*x^1-5*x^-1+3/7*x^0 = 0

(3/7*x^2+3/7*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(3/7*x^2+3/7*x^1-5*x^0) = 0

x^1

(3/7)*x^2+(3/7)*x-5 = 0

(3/7)*x^2+(3/7)*x-5 = 0

DELTA = (3/7)^2-(-5*4*(3/7))

DELTA = 429/49

DELTA > 0

x = ((429/49)^(1/2)-(3/7))/(2*(3/7)) or x = (-(3/7)-(429/49)^(1/2))/(2*(3/7))

x = 7/6*((429/49)^(1/2)-3/7) or x = -7/6*((429/49)^(1/2)+3/7)

x in { -7/6*((429/49)^(1/2)+3/7), 7/6*((429/49)^(1/2)-3/7)} 

x in { -7/6*((429/49)^(1/2)+3/7), 7/6*((429/49)^(1/2)-3/7) }

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