3/x+3/x-8=3x-21/x-8

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Solution for 3/x+3/x-8=3x-21/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x+3/x-8 = 3*x-(21/x)-8 // - 3*x-(21/x)-8

3/x-(3*x)+3/x+21/x-8+8 = 0

3/x-3*x+3/x+21/x-8+8 = 0

27*x^-1-3*x^1 = 0

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

x^1*(27*x^0-3*x^2) = 0

x^1

27-3*x^2 = 0

27-3*x^2 = 0

DELTA = 0^2-(-3*4*27)

DELTA = 324

DELTA > 0

x = (324^(1/2)+0)/(-3*2) or x = (0-324^(1/2))/(-3*2)

x = -3 or x = 3

x in { -3, 3} 

x in { -3, 3 }

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