y^2+5y=180

Solution for y^2+5y=180 equation:

y^2+5y=180

We move all terms to the left:

y^2+5y-(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:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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