0=-16x^2+36x-20

Solution for 0=-16x^2+36x-20 equation:

0=-16x^2+36x-20

We move all terms to the left:

0-(-16x^2+36x-20)=0

We add all the numbers together, and all the variables

-(-16x^2+36x-20)=0

We get rid of parentheses

16x^2-36x+20=0

a = 16; b = -36; c = +20;
Δ = b2-4ac
Δ = -362-4·16·20
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-4}{2*16}=\frac{32}{32}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+4}{2*16}=\frac{40}{32}
=1+1/4
$