The given equation is 16X^2 = 100.
We can solve for X by dividing both sides by 16 and then taking the square root of both sides:
16X^2 = 100
X^2 = 100/16
X^2 = 6.25
Taking the square root of both sides:
X = ±2.5
So, there are 2 solutions to the equation: X = 2.5 and X = -2.5.
Therefore, the answer is (D) 2 solutions.