Y=-19x^2-152x

Solution for Y=-19x^2-152x equation:

=-19Y^2-152Y

We move all terms to the left:

-(-19Y^2-152Y)=0

We get rid of parentheses

19Y^2+152Y=0

a = 19; b = 152; c = 0;
Δ = b2-4ac
Δ = 1522-4·19·0
Δ = 23104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23104}=152$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(152)-152}{2*19}=\frac{-304}{38}
=-8
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(152)+152}{2*19}=\frac{0}{38}
=0
$