Expanding the equation:
(x+4)(x^2-4x+16) - x(x^2-9) = 18(x^3 - 4x^2 + 16x + 4x^2 - 16x + 64) - (x^3 - 9x) = 18(x^3 + 64) - x^3 + 9x = 1864 + 9x = 189x = 18 - 649x = -46x = -46/9
Therefore, the solution to the equation is x = -46/9.
Expanding the equation:
(x+4)(x^2-4x+16) - x(x^2-9) = 18
(x^3 - 4x^2 + 16x + 4x^2 - 16x + 64) - (x^3 - 9x) = 18
(x^3 + 64) - x^3 + 9x = 18
64 + 9x = 18
9x = 18 - 64
9x = -46
x = -46/9
Therefore, the solution to the equation is x = -46/9.