What is the solution to the equation StartFraction negative 3 d Over d squared minus 2 d minus 8 EndFraction + StartFraction 3 Over d minus 4 EndFraction = StartFraction negative 2 Over d + 2 EndFraction? d = - 4 and d = 2 d = - 2 and d = 4 d = 1 d = 2

d = 1

Step-by-step explanation:

-3d / (d²-2d-8) + 3 / (d-4) = - 2 / (d+2)

d²-2d-8 = d²-4d+2d-8

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

= (d+2) (d-4)

Since these the factors in the denominator, they can't be zero.

d cannot be 4 or - 2

-3d/[ (d+2) (d-4) ] + 3 / (d-4) = - 2 / (d+2)

Multiply both sides by: (d+2) (d-4)

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

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

2d = 2

d = 1

C on Edge2020 (d = 1)