Tìm x thỏa mãn

To solve the equation, we need to simplify the expression on the left side and then solve for x.

First, let's simplify the expression inside the parentheses:
(x+1)^3 = (x+1)(x+1)(x+1) = (x^2 + 2x + 1)(x+1) = x^3 + 3x^2 + 3x + 1

Now, let's simplify the expression inside the brackets:
[(x+1)^3 × 4^2] = [x^3 + 3x^2 + 3x + 1] × 16 = 16x^3 + 48x^2 + 48x + 16

Now, let's simplify the entire expression:
[(x+1)^3 × 4^2] × 3 = (16x^3 + 48x^2 + 48x + 16) × 3 = 48x^3 + 144x^2 + 144x + 48

Now, we can set this expression equal to 327 and solve for x:
48x^3 + 144x^2 + 144x + 48 = 327

Rearranging the equation:
48x^3 + 144x^2 + 144x + 48 - 327 = 0

Combining like terms:
48x^3 + 144x^2 + 144x - 279 = 0

Unfortunately, this equation does not have a simple solution. It may require numerical methods or approximations to find the value of x.