((4k-6)/(3k-9))=(1/3)

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


D( k )

3*k-9 = 0

3*k-9 = 0

3*k-9 = 0

3*k-9 = 0 // + 9

3*k = 9 // : 3

k = 9/3

k = 3

k in (-oo:3) U (3:+oo)

(4*k-6)/(3*k-9) = 1/3 // - 1/3

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

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

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

3*(4*k-6)-1*(3*k-9) = 0

9*k-9 = 0

(9*k-9)/(3*(3*k-9)) = 0

(9*k-9)/(3*(3*k-9)) = 0 // * 3*(3*k-9)

9*k-9 = 0

9*k-9 = 0 // + 9

9*k = 9 // : 9

k = 9/9

k = 1

k = 1

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