(8s+5)(3s-9)=0

Solution for (8s+5)(3s-9)=0 equation:

(8s+5)(3s-9)=0

We multiply parentheses ..

(+24s^2-72s+15s-45)=0

We get rid of parentheses

24s^2-72s+15s-45=0

We add all the numbers together, and all the variables

24s^2-57s-45=0

a = 24; b = -57; c = -45;
Δ = b2-4ac
Δ = -572-4·24·(-45)
Δ = 7569
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7569}=87$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-87}{2*24}=\frac{-30}{48}
=-5/8
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+87}{2*24}=\frac{144}{48}
=3
$