192w-6w^2=0

Solution for 192w-6w^2=0 equation:

192w-6w^2=0

a = -6; b = 192; c = 0;
Δ = b2-4ac
Δ = 1922-4·(-6)·0
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(192)-192}{2*-6}=\frac{-384}{-12}
=+32
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(192)+192}{2*-6}=\frac{0}{-12}
=0
$