6i(-1-4i)=0

Solution for 6i(-1-4i)=0 equation:

6i(-1-4i)=0

We add all the numbers together, and all the variables

6i(-4i-1)=0

We multiply parentheses

-24i^2-6i=0

a = -24; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-24)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-24}=\frac{0}{-48}
=0
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-24}=\frac{12}{-48}
=-1/4
$