8/x-6/5=3/7x

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Solution for 8/x-6/5=3/7x equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x-(6/5) = (3/7)*x // - (3/7)*x

8/x-((3/7)*x)-(6/5) = 0

(-3/7)*x+8/x-6/5 = 0

8*x^-1-3/7*x^1-6/5*x^0 = 0

(8*x^0-3/7*x^2-6/5*x^1)/(x^1) = 0 // * x^2

x^1*(8*x^0-3/7*x^2-6/5*x^1) = 0

x^1

(-3/7)*x^2+(-6/5)*x+8 = 0

(-3/7)*x^2+(-6/5)*x+8 = 0

DELTA = (-6/5)^2-(4*8*(-3/7))

DELTA = 2652/175

DELTA > 0

x = ((2652/175)^(1/2)-(-6/5))/(2*(-3/7)) or x = (-(-6/5)-(2652/175)^(1/2))/(2*(-3/7))

x = -7/6*((2652/175)^(1/2)+6/5) or x = -7/6*(6/5-(2652/175)^(1/2))

x in { -7/6*((2652/175)^(1/2)+6/5), -7/6*(6/5-(2652/175)^(1/2))} 

x in { -7/6*((2652/175)^(1/2)+6/5), -7/6*(6/5-(2652/175)^(1/2)) }

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