(7/(12x))-((x+3)/(3x^2))

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Solution for (7/(12x))-((x+3)/(3x^2)) equation:


D( x )

12*x = 0

3*x^2 = 0

12*x = 0

12*x = 0

12*x = 0 // : 12

x = 0

3*x^2 = 0

3*x^2 = 0

3*x^2 = 0 // : 3

x^2 = 0

x = 0

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

7/(12*x)-((x+3)/(3*x^2)) = 0

(-1*(x+3))/(3*x^2)+7/(12*x) = 0

(-1*12*x*(x+3))/(3*12*x*x^2)+(3*7*x^2)/(3*12*x*x^2) = 0

3*7*x^2-1*12*x*(x+3) = 0

9*x^2-36*x = 0

9*x^2-36*x = 0

9*x*(x-4) = 0

x-4 = 0 // + 4

x = 4

9*x*(x-4) = 0

(9*x*(x-4))/(3*12*x*x^2) = 0

(9*x*(x-4))/(3*12*x*x^2) = 0 // * 3*12*x*x^2

9*x*(x-4) = 0

( 9*x )

9*x = 0 // : 9

x = 0

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 0}

x = 4

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