-5/x-6=(7/4x-24)+2

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Solution for -5/x-6=(7/4x-24)+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

-5/x-6 = (7/4)*x-24+2 // - (7/4)*x-24+2

24-((7/4)*x)-5/x-6-2 = 0

(-7/4)*x-5/x-6-2+24 = 0

16*x^0-7/4*x^1-5*x^-1 = 0

(16*x^1-7/4*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(16*x^1-7/4*x^2-5*x^0) = 0

x^1

(-7/4)*x^2+16*x-5 = 0

(-7/4)*x^2+16*x-5 = 0

DELTA = 16^2-(-5*4*(-7/4))

DELTA = 221

DELTA > 0

x = (221^(1/2)-16)/(2*(-7/4)) or x = (-221^(1/2)-16)/(2*(-7/4))

x = -2/7*(221^(1/2)-16) or x = 2/7*(221^(1/2)+16)

x in { -2/7*(221^(1/2)-16), 2/7*(221^(1/2)+16)} 

x in { -2/7*(221^(1/2)-16), 2/7*(221^(1/2)+16) }

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