If a, b, and c are different numbers and if a^3 + 3a + 14 = 0, b^3 + 3b + 14 = 0, and c^3 + 3c + 14 = 0, find the value of 1/a + 1/b + 1/c.
By inspection:
a = -2, b = -2, c = -2
1/-2 +1/-2 + 1/-2 = - 3 / 2
