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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

10/x-6*x-5/2-2 = 0

10*x^-1-6*x^1-9/2*x^0 = 0

(10*x^0-6*x^2-9/2*x^1)/(x^1) = 0 // * x^2

x^1*(10*x^0-6*x^2-9/2*x^1) = 0

x^1

(-9/2)*x-6*x^2+10 = 0

(-9/2)*x-6*x^2+10 = 0

DELTA = (-9/2)^2-(-6*4*10)

DELTA = 1041/4

DELTA > 0

x = ((1041/4)^(1/2)-(-9/2))/(-6*2) or x = (-(-9/2)-(1041/4)^(1/2))/(-6*2)

x = ((1041/4)^(1/2)+9/2)/(-12) or x = (9/2-(1041/4)^(1/2))/(-12)

x in { ((1041/4)^(1/2)+9/2)/(-12), (9/2-(1041/4)^(1/2))/(-12)} 

x in { ((1041/4)^(1/2)+9/2)/(-12), (9/2-(1041/4)^(1/2))/(-12) }

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