Squares, complete the square, complex numbers, quadratic formula, discriminant

Test next week, need some help with my assignments.

First completing the square: $\displaystyle x^2-8x+32=0$

I've done it 4 different ways and I've deduced that it is either

$\displaystyle -4+8i, -4-8i$

$\displaystyle -4+4i, -4-4i$

$\displaystyle 4+8i, 4-8i$

$\displaystyle 4+4i, 4-4i$

Okay.. Second.. This needs to be written in standard form.

$\displaystyle \frac{8-7i}{3-4i}$

Third, and last for the moment. Solve the equation:

$\displaystyle -x^2+4=2x^2-5$

More to come once I get to them.