Let's simplify the given equation step by step:

(2x - 10)^2 - 3(2x - 10) + 4 = 0

Expanding:

(2x - 10)(2x - 10) - 6x + 30 + 4 = 0

4x^2 - 20x - 20x + 100 - 6x + 30 + 4 = 0

4x^2 - 40x + 134 = 0

Now we have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 4, b = -40, and c = 134.

Using the quadratic formula:

x = (-(-40) ± √((-40)^2 - 44134)) / (2*4)
x = (40 ± √(1600 - 2144)) / 8
x = (40 ± √(-544)) / 8
x = (40 ± 23.32i) / 8
x = 5 ± 2.915i

Therefore, the solutions are x = 5 + 2.915i and x = 5 - 2.915i.