360=w(4w+4)

Solution for 360=w(4w+4) equation:

360=w(4w+4)

We move all terms to the left:

360-(w(4w+4))=0


We calculate terms in parentheses: -(w(4w+4)), so:

w(4w+4)

We multiply parentheses

4w^2+4w

Back to the equation:

-(4w^2+4w)


We get rid of parentheses

-4w^2-4w+360=0

a = -4; b = -4; c = +360;
Δ = b2-4ac
Δ = -42-4·(-4)·360
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*-4}=\frac{-72}{-8}
=+9
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*-4}=\frac{80}{-8}
=-10
$