Expanding the left side of the equation:

3952 - 16x^2 = 18496

Subtracting 3952 from both sides:

-16x^2 = 14544

Dividing both sides by -16:

x^2 = -909

This equation has no real solutions, since the square of any real number is always non-negative. Therefore, there is no value of x that satisfies the equation.