144=4w*w

Solution for 144=4w*w equation:

144=4w*w

We move all terms to the left:

144-(4w*w)=0

We add all the numbers together, and all the variables

-(+4w*w)+144=0

We get rid of parentheses

-4w*w+144=0

Wy multiply elements

-4w^2+144=0

a = -4; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-4)·144
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-4}=\frac{-48}{-8}
=+6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-4}=\frac{48}{-8}
=-6
$