0=-16x(x-2)

Solution for 0=-16x(x-2) equation:

0=-16x(x-2)

We move all terms to the left:

0-(-16x(x-2))=0

We add all the numbers together, and all the variables

-(-16x(x-2))=0


We calculate terms in parentheses: -(-16x(x-2)), so:

-16x(x-2)

We multiply parentheses

-16x^2+32x

Back to the equation:

-(-16x^2+32x)


We get rid of parentheses

16x^2-32x=0

a = 16; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·16·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*16}=\frac{64}{32}
=2
$