(1)/(2x)+(6x-9)/(3x)=(2)/(x)

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Solution for (1)/(2x)+(6x-9)/(3x)=(2)/(x) equation:


D( x )

3*x = 0

x = 0

2*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

(6*x-9)/(3*x)+1/(2*x) = 2/x // - 2/x

(6*x-9)/(3*x)+1/(2*x)-(2/x) = 0

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

(6*x-9)/(3*x)+1/(2*x)-2/x = 0

(2*x*x*(6*x-9))/(2*3*x*x*x)+(1*3*x*x)/(2*3*x*x*x)+(-2*2*3*x*x)/(2*3*x*x*x) = 0

2*x*x*(6*x-9)+1*3*x*x-2*2*3*x*x = 0

12*x^3-15*x^2-12*x^2 = 0

12*x^3-27*x^2 = 0

12*x^3-27*x^2 = 0

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

4*x-9 = 0 // + 9

4*x = 9 // : 4

x = 9/4

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

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

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

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

( 3*x^2 )

3*x^2 = 0 // : 3

x^2 = 0

x = 0

( x-9/4 )

x-9/4 = 0 // + 9/4

x = 9/4

x in { 0}

x = 9/4

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