(X+2-2i)(X+2+2i)=0

Solution for (X+2-2i)(X+2+2i)=0 equation:

(X+2-2X)(X+2+2X)=0

We add all the numbers together, and all the variables

(-1X+2)(3X+2)=0

We multiply parentheses ..

(-3X^2-2X+6X+4)=0

We get rid of parentheses

-3X^2-2X+6X+4=0

We add all the numbers together, and all the variables

-3X^2+4X+4=0

a = -3; b = 4; c = +4;
Δ = b2-4ac
Δ = 42-4·(-3)·4
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-8}{2*-3}=\frac{-12}{-6}
=+2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+8}{2*-3}=\frac{4}{-6}
=-2/3
$