To solve the equation x.x - 5x = 2, we can rearrange the equation to form a quadratic equation:

x.x - 5x - 2 = 0

This equation can be solved using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = -5, and c = -2. Plugging these values into the quadratic formula, we get:

x = (-(-5) ± √((-5)^2 - 4(1)(-2))) / (2(1))
x = (5 ± √(25 + 8)) / 2
x = (5 ± √33) / 2

Therefore, the solutions to the equation x.x - 5x = 2 are:

x = (5 + √33) / 2
x = (5 - √33) / 2