1/(3x)+(6x-9)/(3x)=(3x-3)/(4x)

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Solution for 1/(3x)+(6x-9)/(3x)=(3x-3)/(4x) equation:


D( x )

3*x = 0

4*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

(6*x-9)/(3*x)+1/(3*x) = (3*x-3)/(4*x) // - (3*x-3)/(4*x)

(6*x-9)/(3*x)-((3*x-3)/(4*x))+1/(3*x) = 0

(6*x-9)/(3*x)+(-1*(3*x-3))/(4*x)+1/(3*x) = 0

(4*x*(6*x-9))/(3*4*x*x)+(-1*3*x*(3*x-3))/(3*4*x*x)+(1*4*x)/(3*4*x*x) = 0

4*x*(6*x-9)-1*3*x*(3*x-3)+1*4*x = 0

15*x^2-27*x+4*x = 0

15*x^2-23*x = 0

15*x^2-23*x = 0

x*(15*x-23) = 0

15*x-23 = 0 // + 23

15*x = 23 // : 15

x = 23/15

x*(x-23/15) = 0

(x*(x-23/15))/(3*4*x*x) = 0

(x*(x-23/15))/(3*4*x*x) = 0 // * 3*4*x*x

x*(x-23/15) = 0

( x-23/15 )

x-23/15 = 0 // + 23/15

x = 23/15

( x )

x = 0

x in { 0}

x = 23/15

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