960=(8+2w)(w)

Solution for 960=(8+2w)(w) equation:

960=(8+2w)(w)

We move all terms to the left:

960-((8+2w)(w))=0

We add all the numbers together, and all the variables

-((2w+8)w)+960=0


We calculate terms in parentheses: -((2w+8)w), so:

(2w+8)w

We multiply parentheses

2w^2+8w

Back to the equation:

-(2w^2+8w)


We get rid of parentheses

-2w^2-8w+960=0

a = -2; b = -8; c = +960;
Δ = b2-4ac
Δ = -82-4·(-2)·960
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-88}{2*-2}=\frac{-80}{-4}
=+20
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+88}{2*-2}=\frac{96}{-4}
=-24
$