To solve the equation 3cos(x) - 3 = 0, we can start by isolating the cosine term.

Add 3 to both sides of the equation:

3cos(x) = 3

Next, divide both sides of the equation by 3:

cos(x) = 1

Now, we need to find the values of x that satisfy this equation. The cosine function has a maximum value of 1, which occurs at x = 0. It also has a minimum value of -1, which occurs at x = π.

Since cos(x) = 1, we know that x = 0 is a solution.

To find any additional solutions, we can use the periodicity of the cosine function. The cosine function repeats itself every 2π radians. So, we can add or subtract any multiple of 2π to the solution x = 0 to find other solutions.

Therefore, the solutions to the equation 3cos(x) - 3 = 0 are:

x = 0 + 2πn, where n is an integer.