# Challenge 394: Curious Cubic

Use the information given here to find the value of the expression.

The cubic equation in x shown below is satisfied when x = a, and by exactly two integer values for x.

x^{3} + x^{2}(a - 2) - x(3a - 1) - 4a = 0

Find the value of a^{2} - 3a + 2.