y*(y+2)=180

Solution for y*(y+2)=180 equation:

y(y+2)=180

We move all terms to the left:

y(y+2)-(180)=0

We multiply parentheses

y^2+2y-180=0

a = 1; b = 2; c = -180;
Δ = b2-4ac
Δ = 22-4·1·(-180)
Δ = 724
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{724}=\sqrt{4*181}=\sqrt{4}*\sqrt{181}=2\sqrt{181}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{181}}{2*1}=\frac{-2-2\sqrt{181}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{181}}{2*1}=\frac{-2+2\sqrt{181}}{2}
$