w^2=32w

Solution for w^2=32w equation:

w^2=32w

We move all terms to the left:

w^2-(32w)=0

a = 1; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·1·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*1}=\frac{0}{2}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*1}=\frac{64}{2}
=32
$