4=6/(2x-3)

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Solution for 4=6/(2x-3) equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

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

4 = 6/(2*x-3) // - 6/(2*x-3)

4-(6/(2*x-3)) = 0

4-6*(2*x-3)^-1 = 0

4-6/(2*x-3) = 0

(4*(2*x-3))/(2*x-3)-6/(2*x-3) = 0

4*(2*x-3)-6 = 0

8*x-18 = 0

(8*x-18)/(2*x-3) = 0

(8*x-18)/(2*x-3) = 0 // * 2*x-3

8*x-18 = 0

8*x-18 = 0 // + 18

8*x = 18 // : 8

x = 18/8

x = 9/4

x = 9/4

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