Question 41361
To begin, cross-multiply:

(c+3)(c-3) = (c-1)(c+2)

Multiply the factors using FOIL:

c^2 - 3c + 3c - 9 = c^2 + 2c - c - 2

Combine like terms:
c^2 - 9 = c^2 + - c - 2

Sovle for c:

c^2 - c^2 - 9 = c^2 -c^2 + - c - 2
- 9 = - c - 2
- 9 + 2 = - c - 2 + 2
-7 = c
Solve for c:
Checking the answer by plugging -7 back into the original equation:
(-7+3)/(-7-1) = (-7+2)/(-7-3)

-4/-8 = -5/-10

1/2 = 1/2  So, the answer checks out.