-y^2-30y-144=0

Solution for -y^2-30y-144=0 equation:

-y^2-30y-144=0

We add all the numbers together, and all the variables

-1y^2-30y-144=0

a = -1; b = -30; c = -144;
Δ = b2-4ac
Δ = -302-4·(-1)·(-144)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-18}{2*-1}=\frac{12}{-2}
=-6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+18}{2*-1}=\frac{48}{-2}
=-24
$