(49w)(w)(w+9)=17640

Solution for (49w)(w)(w+9)=17640 equation:

(49w)(w)(w+9)=17640

We move all terms to the left:

(49w)(w)(w+9)-(17640)=0

We multiply parentheses

49w^2+441w-17640=0

a = 49; b = 441; c = -17640;
Δ = b2-4ac
Δ = 4412-4·49·(-17640)
Δ = 3651921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3651921}=1911$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(441)-1911}{2*49}=\frac{-2352}{98}
=-24
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(441)+1911}{2*49}=\frac{1470}{98}
=15
$