(w+3)*w=90

Solution for (w+3)*w=90 equation:

(w+3)*w=90

We move all terms to the left:

(w+3)*w-(90)=0

We multiply parentheses

w^2+3w-90=0

a = 1; b = 3; c = -90;
Δ = b2-4ac
Δ = 32-4·1·(-90)
Δ = 369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{369}=\sqrt{9*41}=\sqrt{9}*\sqrt{41}=3\sqrt{41}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3\sqrt{41}}{2*1}=\frac{-3-3\sqrt{41}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{41}}{2*1}=\frac{-3+3\sqrt{41}}{2}
$