To solve the equation 2sinx - √3 = 0, we first isolate the sinx term by adding √3 to both sides:

2sinx = √3

Next, divide both sides by 2:

sinx = √3 / 2

To find the solutions for x, we need to determine where the sine function equals √3 / 2. This occurs at the angles π/3 and 2π/3 in the unit circle.

Therefore, the solutions for x are:

x = π/3 + 2πn, where n is an integer
x = 2π/3 + 2πn, where n is an integer