-5w(w-8)2=0

Solution for -5w(w-8)2=0 equation:

-5w(w-8)2=0

We multiply parentheses

-10w^2+80w=0

a = -10; b = 80; c = 0;
Δ = b2-4ac
Δ = 802-4·(-10)·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-80}{2*-10}=\frac{-160}{-20}
=+8
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+80}{2*-10}=\frac{0}{-20}
=0
$