w(3w-1)=44

Solution for w(3w-1)=44 equation:

w(3w-1)=44

We move all terms to the left:

w(3w-1)-(44)=0

We multiply parentheses

3w^2-1w-44=0

a = 3; b = -1; c = -44;
Δ = b2-4ac
Δ = -12-4·3·(-44)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-23}{2*3}=\frac{-22}{6}
=-3+2/3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+23}{2*3}=\frac{24}{6}
=4
$