-27w^2+27w*30=0

Solution for -27w^2+27w*30=0 equation:

-27w^2+27w*30=0

Wy multiply elements

-27w^2+810w=0

a = -27; b = 810; c = 0;
Δ = b2-4ac
Δ = 8102-4·(-27)·0
Δ = 656100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{656100}=810$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(810)-810}{2*-27}=\frac{-1620}{-54}
=+30
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(810)+810}{2*-27}=\frac{0}{-54}
=0
$