To solve this equation, we can first simplify it by distributing the square root:

(1 - 2sin^2(x/2))(√(9-4x^2)) = 0

Next, we can set each factor equal to 0 and solve for x:

1 - 2sin^2(x/2) = 0

2sin^2(x/2) = -1
sin^2(x/2) = 1/2
sin(x/2) = ±sqrt(1/2)
sin(x/2) = ±1/sqrt(2)

This means that x/2 can be:

x/2 = π/4 or x/2 = 3π/4 for sin(x/2) = 1/sqrt(2)
x/2 = π/4 or x/2 = 3π/4 for sin(x/2) = -1/sqrt(2)

So the solutions for x are:

x = π/2, 3π/2, 5π/2, or 7π/2