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 calculate terms in parentheses: -(w(+w*6)), so:

w(+w*6)

We multiply parentheses

6w^2

Back to the equation:

-(6w^2)


a = -6; b = 0; c = +216;
Δ = b2-4ac
Δ = 02-4·(-6)·216
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*-6}=\frac{-72}{-12}
=+6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*-6}=\frac{72}{-12}
=-6
$