216=w*w*6

Solution for 216=w*w*6 equation:

216=w*w*6

We move all terms to the left:

216-(w*w*6)=0

We add all the numbers together, and all the variables

-(+w*w*6)+216=0

We get rid of parentheses

-w*w*6+216=0

Wy multiply elements

-6w^2*6+216=0

Wy multiply elements

-36w^2+216=0

a = -36; b = 0; c = +216;
Δ = b2-4ac
Δ = 02-4·(-36)·216
Δ = 31104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*-36}=\frac{0-72\sqrt{6}}{-72}
=-\frac{72\sqrt{6}}{-72}
=-\frac{\sqrt{6}}{-1}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*-36}=\frac{0+72\sqrt{6}}{-72}
=\frac{72\sqrt{6}}{-72}
=\frac{\sqrt{6}}{-1}
$