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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

36x^2+30x-6=0

a = 36; b = 30; c = -6;
Δ = b2-4ac
Δ = 302-4·36·(-6)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-42}{2*36}=\frac{-72}{72}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+42}{2*36}=\frac{12}{72}
=1/6
$