5i(6-i)=0

Solution for 5i(6-i)=0 equation:

5i(6-i)=0

We add all the numbers together, and all the variables

5i(-1i+6)=0

We multiply parentheses

-5i^2+30i=0

a = -5; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-5)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-5}=\frac{-60}{-10}
=+6
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-5}=\frac{0}{-10}
=0
$