5(x-3)/2x/x^2-9/x

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Solution for 5(x-3)/2x/x^2-9/x equation:


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(x*((5*(x-3))/2))/(x^2)-(9/x) = 0

(x*((5*(x-3))/2))/(x^2)-9*x^-1 = 0

(5*x*(x-3))/(2*x^2)-9/x = 0

(5*x^2*(x-3))/(2*x*x^2)+(-9*2*x^2)/(2*x*x^2) = 0

5*x^2*(x-3)-9*2*x^2 = 0

5*x^3-33*x^2 = 0

5*x^3-33*x^2 = 0

x^2*(5*x-33) = 0

5*x-33 = 0 // + 33

5*x = 33 // : 5

x = 33/5

x^2*(x-33/5) = 0

(x^2*(x-33/5))/(2*x*x^2) = 0

(x^2*(x-33/5))/(2*x*x^2) = 0 // * 2*x*x^2

x^2*(x-33/5) = 0

( x-33/5 )

x-33/5 = 0 // + 33/5

x = 33/5

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0}

x = 33/5

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