To solve the equation $g(x - 57) = g(2x + 3)$ given that $g(x) = 4x^2 - 24x + 11$, we’ll follow these steps:

1. Substitute $g(x - 57)$: $g(x - 57) = 4(x - 57)^2 - 24(x - 57) + 11$

2. Expand $g(x - 57)$:

   • Calculate $(x - 57)^2$: $(x - 57)^2 = x^2 - 114x + 3249$
   • Substitute into $g(x - 57)$: $g(x - 57) = 4(x^2 - 114x + 3249) - 24(x - 57) + 11$
   • Expanding: [ = 4x^2 - 456x + 12996 - 24x + 1368 + 11 = 12996