Question

What is the solution to the equation?

Answer 1

Answer: D=1 or C is your answer CHIEF!

Answer 2

ANSWER

(C) d=1

EXPLANATION

The given equation is

$\frac{ - 3d}{ {d}^{2} - 2d - 8} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}$

Factor the first fraction to get,

$\frac{ - 3d}{(d + 2)(d - 4)} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}$

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

$d = 1$