Question

What is the solution to the equation?

(A) d = –4 and d = 2
(B) d = –2 and d = 4
(C) d = 1
(D) d = 2
MY LAST QUESTION HELP.
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Answer 1

(C) d=1

Step-by-step explanation

The given equation is

`\frac{ - 3d}{ {d}^(2) - 2d - 8} + (3)/(d - 4) = ( - 2)/(d + 2)`

Factor the first fraction to get,

`( - 3d)/((d + 2)(d - 4)) + (3)/(d - 4) = ( - 2)/(d + 2)`

Multiply through by (d+2)(d-4)

`- 3d + 3(d + 2) = - 2(d - 4)`

Expand:

`- 3d + 3d + 6 = - 2d + 8`

`6 = - 2d + 8`

`6 - 8= - 2d`

`- 2 = - 2d`

divide both sides by -2

`d = 1`