0=6i^2-30i+36

Solution for 0=6i^2-30i+36 equation:

0=6i^2-30i+36

We move all terms to the left:

0-(6i^2-30i+36)=0

We add all the numbers together, and all the variables

-(6i^2-30i+36)=0

We get rid of parentheses

-6i^2+30i-36=0

a = -6; b = 30; c = -36;
Δ = b2-4ac
Δ = 302-4·(-6)·(-36)
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{-(30)-6}{2*-6}=\frac{-36}{-12}
=+3
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+6}{2*-6}=\frac{-24}{-12}
=+2
$