Answer:
option c)
d = 1
Step-by-step explanation:
Given the equation in the question,
-3d / (d² - 2d - 8) + (3 / d-4) = (-2 / d+2)
quadratic factorisation
-3d / (d+2)(d-4) + (3 / d-4) = (-2 / d+2)
-3d / (d+2)(d-4) = (-2 / d+2) - (3 / d-4)
taking LCM on right side
-3d / (d+2)(d-4) = ( -2(d-4) - 3(d+2)) / (d+2)(d-4)
canceling (d+2)(d-4) on both sides
-3d = -2(d-4) - 3(d+2)
-3d = -2d + 8 - 3d - 6
-3d + 2d + 3d = 8 - 6
2d = 2
d = 1
