Question

The answer choices are -3, 3/2, 3, and -12/5.
thanks in advance!! :)

Answer 1

(C). {3}

Explanation:

`(x)/(2(x+1))` =
`(-2x)/(4(x+1))` +
`(2x-3)/(x+1)` ( x ≠ - 1 )

`(x)/(2(x+1))` -
`(2x-3)/(x+1)` +
`(x)/(2(x+1))` = 0

`(2x-3)/(x+1)` -
`(x)/((x+1))` = 0

`(x-3)/(x+1)` = 0 ⇒ x = 3