0=4x^2+20x+24

Solution for 0=4x^2+20x+24 equation:

0=4x^2+20x+24

We move all terms to the left:

0-(4x^2+20x+24)=0

We add all the numbers together, and all the variables

-(4x^2+20x+24)=0

We get rid of parentheses

-4x^2-20x-24=0

a = -4; b = -20; c = -24;
Δ = b2-4ac
Δ = -202-4·(-4)·(-24)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4}{2*-4}=\frac{16}{-8}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4}{2*-4}=\frac{24}{-8}
=-3
$