4w^2=-36w

Solution for 4w^2=-36w equation:

4w^2=-36w

We move all terms to the left:

4w^2-(-36w)=0

We get rid of parentheses

4w^2+36w=0

a = 4; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·4·0
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{-(36)-36}{2*4}=\frac{-72}{8}
=-9
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*4}=\frac{0}{8}
=0
$