5x-3/x=42/x

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Solution for 5x-3/x=42/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(3/x) = 42/x // - 42/x

5*x-(3/x)-(42/x) = 0

5*x-3*x^-1-42*x^-1 = 0

5*x^1-45*x^-1 = 0

(5*x^2-45*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-45*x^0) = 0

x^1

5*x^2-45 = 0

5*x^2-45 = 0

DELTA = 0^2-(-45*4*5)

DELTA = 900

DELTA > 0

x = (900^(1/2)+0)/(2*5) or x = (0-900^(1/2))/(2*5)

x = 3 or x = -3

x in { -3, 3} 

x in { -3, 3 }

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