(w)(w+5)=180

Solution for (w)(w+5)=180 equation:

(w)(w+5)=180

We move all terms to the left:

(w)(w+5)-(180)=0

We multiply parentheses

w^2+5w-180=0

a = 1; b = 5; c = -180;
Δ = b2-4ac
Δ = 52-4·1·(-180)
Δ = 745
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{745}}{2*1}=\frac{-5-\sqrt{745}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{745}}{2*1}=\frac{-5+\sqrt{745}}{2}
$