-y^2-27y-180=0

Solution for -y^2-27y-180=0 equation:

-y^2-27y-180=0

We add all the numbers together, and all the variables

-1y^2-27y-180=0

a = -1; b = -27; c = -180;
Δ = b2-4ac
Δ = -272-4·(-1)·(-180)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-3}{2*-1}=\frac{24}{-2}
=-12
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+3}{2*-1}=\frac{30}{-2}
=-15
$