y^2-180y=360

Solution for y^2-180y=360 equation:

y^2-180y=360

We move all terms to the left:

y^2-180y-(360)=0

a = 1; b = -180; c = -360;
Δ = b2-4ac
Δ = -1802-4·1·(-360)
Δ = 33840
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:

$\sqrt{\Delta}=\sqrt{33840}=\sqrt{144*235}=\sqrt{144}*\sqrt{235}=12\sqrt{235}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-180)-12\sqrt{235}}{2*1}=\frac{180-12\sqrt{235}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+12\sqrt{235}}{2*1}=\frac{180+12\sqrt{235}}{2}
$