(2w-8)(w)=570

Solution for (2w-8)(w)=570 equation:

(2w-8)(w)=570

We move all terms to the left:

(2w-8)(w)-(570)=0

We multiply parentheses

2w^2-8w-570=0

a = 2; b = -8; c = -570;
Δ = b2-4ac
Δ = -82-4·2·(-570)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-68}{2*2}=\frac{-60}{4}
=-15
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+68}{2*2}=\frac{76}{4}
=19
$