(3x-1)/(7x)-2/(3x)=24

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Solution for (3x-1)/(7x)-2/(3x)=24 equation:


D( x )

3*x = 0

7*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

7*x = 0

7*x = 0

7*x = 0 // : 7

x = 0

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

(3*x-1)/(7*x)-(2/(3*x)) = 24 // - 24

(3*x-1)/(7*x)-(2/(3*x))-24 = 0

(3*x-1)/(7*x)+(-2/3)*x^-1-24 = 0

(3*x-1)/(7*x)-2/(3*x)-24 = 0

(3*x*(3*x-1))/(3*7*x*x)+(-2*7*x)/(3*7*x*x)+(-24*3*7*x*x)/(3*7*x*x) = 0

3*x*(3*x-1)-24*3*7*x*x-2*7*x = 0

9*x^2-504*x^2-17*x = 0

-495*x^2-17*x = 0

-495*x^2-17*x = 0

-x*(495*x+17) = 0

495*x+17 = 0 // - 17

495*x = -17 // : 495

x = -17/495

-x*(x+17/495) = 0

(-x*(x+17/495))/(3*7*x*x) = 0

(-x*(x+17/495))/(3*7*x*x) = 0 // * 3*7*x*x

-x*(x+17/495) = 0

( -x )

-1*x = 0 // : -1

x = 0

( x+17/495 )

x+17/495 = 0 // - 17/495

x = -17/495

x in { 0}

x = -17/495

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