320=(8w-24)w

Solution for 320=(8w-24)w equation:

320=(8w-24)w

We move all terms to the left:

320-((8w-24)w)=0


We calculate terms in parentheses: -((8w-24)w), so:

(8w-24)w

We multiply parentheses

8w^2-24w

Back to the equation:

-(8w^2-24w)


We get rid of parentheses

-8w^2+24w+320=0

a = -8; b = 24; c = +320;
Δ = b2-4ac
Δ = 242-4·(-8)·320
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-104}{2*-8}=\frac{-128}{-16}
=+8
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+104}{2*-8}=\frac{80}{-16}
=-5
$