(2w-16)w=9216

Solution for (2w-16)w=9216 equation:

(2w-16)w=9216

We move all terms to the left:

(2w-16)w-(9216)=0

We multiply parentheses

2w^2-16w-9216=0

a = 2; b = -16; c = -9216;
Δ = b2-4ac
Δ = -162-4·2·(-9216)
Δ = 73984
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{73984}=272$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-272}{2*2}=\frac{-256}{4}
=-64
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+272}{2*2}=\frac{288}{4}
=72
$