X^2=-16i

Solution for X^2=-16i equation:

X^2=-16X

We move all terms to the left:

X^2-(-16X)=0

We get rid of parentheses

X^2+16X=0

a = 1; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·1·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*1}=\frac{-32}{2}
=-16
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*1}=\frac{0}{2}
=0
$