The graph of the parabola $x = 2y^2 - 6y + 3$ has an $x$-intercept $(a,0)$ and two $y$-intercepts $(0,b)$ and $(0,c)$. Find $a + b + c$.

The graph of the parabola $x = 2y^2 - 6y + 3$ has an -intercept $(a,0)$ and two $y$-intercepts $(0,b)$ and $(0,c)$. Find  $a + b + c$.