-6w(w+9)=0

Solution for -6w(w+9)=0 equation:

-6w(w+9)=0

We multiply parentheses

-6w^2-54w=0

a = -6; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·(-6)·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*-6}=\frac{0}{-12}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*-6}=\frac{108}{-12}
=-9
$