-2y*y-3y+24=0

Solution for -2y*y-3y+24=0 equation:

-2y*y-3y+24=0

We add all the numbers together, and all the variables

-3y-2y*y+24=0

Wy multiply elements

-2y^2-3y+24=0

a = -2; b = -3; c = +24;
Δ = b2-4ac
Δ = -32-4·(-2)·24
Δ = 201
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{-(-3)-\sqrt{201}}{2*-2}=\frac{3-\sqrt{201}}{-4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{201}}{2*-2}=\frac{3+\sqrt{201}}{-4}
$