((3x)/21)-(5/(2x))=(3/(2x))

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Solution for ((3x)/21)-(5/(2x))=(3/(2x)) equation: 


D( x )

2*x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

(3*x)/21-(5/(2*x)) = 3/(2*x) // - 3/(2*x)

(3*x)/21-(5/(2*x))-(3/(2*x)) = 0

(3*x)/21+(-5/2)*x^-1+(-3/2)*x^-1 = 0

1/7*x^1-4*x^-1 = 0

(1/7*x^2-4*x^0)/(x^1) = 0 // * x^2

x^1*(1/7*x^2-4*x^0) = 0

x^1

(1/7)*x^2-4 = 0

(1/7)*x^2-4 = 0

DELTA = 0^2-(-4*4*(1/7))

DELTA = 16/7

DELTA > 0

x = ((16/7)^(1/2)+0)/(2*(1/7)) or x = (0-(16/7)^(1/2))/(2*(1/7))

x = 7/2*(16/7)^(1/2) or x = 7/2*(16/7)^(1/2)

x in { 7/2*(16/7)^(1/2), 7/2*(16/7)^(1/2)} 

x in { 7/2*(16/7)^(1/2), 7/2*(16/7)^(1/2) }

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