1/x-3/5(5/(2x)-5/3)=1/2

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Solution for 1/x-3/5(5/(2x)-5/3)=1/2 equation: 


D( x )

x = 0

2*x = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

1/x-((3/5)*(5/(2*x)-(5/3))) = 1/2 // - 1/2

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

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

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

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

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

2*x-x-1 = 0

x-1 = 0

(x-1)/(2*x) = 0

(x-1)/(2*x) = 0 // * 2*x

x-1 = 0

x-1 = 0 // + 1

x = 1

x = 1

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