-16x^2+512x=0

Solution for -16x^2+512x=0 equation:

-16x^2+512x=0

a = -16; b = 512; c = 0;
Δ = b2-4ac
Δ = 5122-4·(-16)·0
Δ = 262144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{262144}=512$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(512)-512}{2*-16}=\frac{-1024}{-32}
=+32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(512)+512}{2*-16}=\frac{0}{-32}
=0
$