For how many values of $a$ is the equation
$$(x - a)(x^2 - x + a) = 0$$
satisfied by exactly two distinct values of $x$?
A $0$
B $1$
C $2$
D $3$
E $4$
F more than 4
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For how many values of $a$ is the equation

$$(x - a)(x^2 - x + a) = 0$$

satisfied by exactly two distinct values of $x$?

A $0$

B $1$

C $2$

D $3$

E $4$

F more than 4