10/x-2=15/6x+x

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Solution for 10/x-2=15/6x+x equation: 


D( x )

x = 0

x = 0

x = 0

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

10/x-2 = (15/6)*x+x // - (15/6)*x+x

10/x-((15/6)*x)-x-2 = 0

(-5/2)*x-x+10/x-2 = 0

10*x^-1-7/2*x^1-2*x^0 = 0

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

x^1*(10*x^0-7/2*x^2-2*x^1) = 0

x^1

(-7/2)*x^2-2*x+10 = 0

(-7/2)*x^2-2*x+10 = 0

DELTA = (-2)^2-(4*10*(-7/2))

DELTA = 144

DELTA > 0

x = (144^(1/2)+2)/(2*(-7/2)) or x = (2-144^(1/2))/(2*(-7/2))

x = -2 or x = 10/7

x in { -2, 10/7} 

x in { -2, 10/7 }

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