(5k+8)/(2k-3)=2((4k+1)/(2k-3))

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Solution for (5k+8)/(2k-3)=2((4k+1)/(2k-3)) equation: 


D( k )

2*k-3 = 0

2*k-3 = 0

2*k-3 = 0

2*k-3 = 0 // + 3

2*k = 3 // : 2

k = 3/2

k in (-oo:3/2) U (3/2:+oo)

(5*k+8)/(2*k-3) = 2*((4*k+1)/(2*k-3)) // - 2*((4*k+1)/(2*k-3))

(5*k+8)/(2*k-3)-(2*((4*k+1)/(2*k-3))) = 0

(5*k+8)/(2*k-3)-2*(2*k-3)^-1*(4*k+1) = 0

(5*k+8)/(2*k-3)+(-2*(4*k+1))/(2*k-3) = 0

5*k-2*(4*k+1)+8 = 0

6-3*k = 0

(6-3*k)/(2*k-3) = 0

(6-3*k)/(2*k-3) = 0 // * 2*k-3

6-3*k = 0

6-3*k = 0 // - 6

-3*k = -6 // : -3

k = -6/(-3)

k = 2

k = 2

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