What is the solution for the equation - 3d/d^2-2d-8 + 3/d-4 = - 2/d+2

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

factor

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

multiply by (d-4) (d+2) on each side

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

distribute

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

distribute

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

combine like terms

6 = - 2d+8

subtract 8 to each side

-2 = - 2d

divide by - 2

1 = d