w(2w-4)=160

Solution for w(2w-4)=160 equation:

w(2w-4)=160

We move all terms to the left:

w(2w-4)-(160)=0

We multiply parentheses

2w^2-4w-160=0

a = 2; b = -4; c = -160;
Δ = b2-4ac
Δ = -42-4·2·(-160)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-36}{2*2}=\frac{-32}{4}
=-8
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+36}{2*2}=\frac{40}{4}
=10
$