How to solve this equation?

[polymath257]

And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).

Complex conjugates?

Analogous to other quadratic conjugates, like that the conjugate of 2+sqrt(3) is 2-sqrt(3).

The only fact that is useful background at this level is that every polynomial with complex coefficients factors into linear factors with complex coefficients (the fundamental theorem of algebra).

But this isn't proved until *much* later.

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The correct term is 'complex numbers', just like the correct term for fractions is 'rational numbers'.  You don't get to change to a different adjective even if it would be correct in ordinary language.

And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).

What is "algebra"? I have heard that word, and I know it is something related to mathematics, but I do not know what it means.

In that case, I might suggest that you don't have the prerequisites for this course.