(x/3)+((3x-4)/2x)

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Solution for (x/3)+((3x-4)/2x) equation:


x in (-oo:+oo)

x*((3*x-4)/2)+x/3 = 0

(x*(3*x-4))/2+x/3 = 0

(3*x*(3*x-4))/(2*3)+(2*x)/(2*3) = 0

3*x*(3*x-4)+2*x = 0

9*x^2-10*x = 0

9*x^2-10*x = 0

x*(9*x-10) = 0

9*x-10 = 0 // + 10

9*x = 10 // : 9

x = 10/9

x*(x-10/9) = 0

(x*(x-10/9))/(2*3) = 0

(x*(x-10/9))/(2*3) = 0 // * 2*3

x*(x-10/9) = 0

( x-10/9 )

x-10/9 = 0 // + 10/9

x = 10/9

( x )

x = 0

x in { 10/9, 0 }

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