Решим уравнение:
$$(-4x+1)^2 - (2x-3)(8x-1) = 34$$
$$16x^2 - 8x + 1 - (16x^2 - 2x - 24x + 3) = 34$$
$$16x^2 - 8x + 1 - 16x^2 + 26x - 3 = 34$$
$$18x - 2 = 34$$
$$18x = 36$$
$$x = 2$$
Ответ: x = 2