9w^2=-18w

Solution for 9w^2=-18w equation:

9w^2=-18w

We move all terms to the left:

9w^2-(-18w)=0

We get rid of parentheses

9w^2+18w=0

a = 9; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·9·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*9}=\frac{-36}{18}
=-2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*9}=\frac{0}{18}
=0
$