0=36x^2-54x-36

Solution for 0=36x^2-54x-36 equation:

0=36x^2-54x-36

We move all terms to the left:

0-(36x^2-54x-36)=0

We add all the numbers together, and all the variables

-(36x^2-54x-36)=0

We get rid of parentheses

-36x^2+54x+36=0

a = -36; b = 54; c = +36;
Δ = b2-4ac
Δ = 542-4·(-36)·36
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-90}{2*-36}=\frac{-144}{-72}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+90}{2*-36}=\frac{36}{-72}
=-1/2
$