-6i(-4+6i)=0

Solution for -6i(-4+6i)=0 equation:

-6i(-4+6i)=0

We add all the numbers together, and all the variables

-6i(6i-4)=0

We multiply parentheses

-36i^2+24i=0

a = -36; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-36)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-36}=\frac{-48}{-72}
=2/3
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-36}=\frac{0}{-72}
=0
$