0=-16x^2+5x

Solution for 0=-16x^2+5x equation:

0=-16x^2+5x

We move all terms to the left:

0-(-16x^2+5x)=0

We add all the numbers together, and all the variables

-(-16x^2+5x)=0

We get rid of parentheses

16x^2-5x=0

a = 16; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·16·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*16}=\frac{10}{32}
=5/16
$