We solve the equation:

x^3 - 380x^2 +2x-760=0

Factor the left side :

x^3 + 2x - 380x - 760 = 0

x(x^2 + 2) - 380(x^2 + 2) = 0

(x^2 + 2)(x - 380) = 0

Solve each term in the product separately:

x^2 + 2 = 0

x - 380 = 0

The equation x^2 + 2 = 0 has no real solutions since it is equivalent to x^2 = -2 and x^2 >=0, for every real number x.

We solve:

x - 380 = 0 add 380 to both sides

x = 380

The solution is x = 380.