(w)(w+7)=360

Solution for (w)(w+7)=360 equation:

(w)(w+7)=360

We move all terms to the left:

(w)(w+7)-(360)=0

We multiply parentheses

w^2+7w-360=0

a = 1; b = 7; c = -360;
Δ = b2-4ac
Δ = 72-4·1·(-360)
Δ = 1489
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{-(7)-\sqrt{1489}}{2*1}=\frac{-7-\sqrt{1489}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1489}}{2*1}=\frac{-7+\sqrt{1489}}{2}
$