(4x-5)/(2-x)=-(9/2)

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Solution for (4x-5)/(2-x)=-(9/2) equation:


D( x )

2-x = 0

2-x = 0

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

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

(4*x-5)/(2-x) = -(9/2) // + 9/2

(4*x-5)/(2-x)+9/2 = 0

(2*(4*x-5))/(2*(2-x))+(9*(2-x))/(2*(2-x)) = 0

2*(4*x-5)+9*(2-x) = 0

8-x = 0

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

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

8-x = 0

8-x = 0 // - 8

-x = -8 // * -1

x = 8

x = 8

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