720s+720(s+11)=24s(s+11)

Solution for 720s+720(s+11)=24s(s+11) equation:

720s+720(s+11)=24s(s+11)

We move all terms to the left:

720s+720(s+11)-(24s(s+11))=0

We multiply parentheses

720s+720s-(24s(s+11))+7920=0


We calculate terms in parentheses: -(24s(s+11)), so:

24s(s+11)

We multiply parentheses

24s^2+264s

Back to the equation:

-(24s^2+264s)


We add all the numbers together, and all the variables

1440s-(24s^2+264s)+7920=0

We get rid of parentheses

-24s^2+1440s-264s+7920=0

We add all the numbers together, and all the variables

-24s^2+1176s+7920=0

a = -24; b = 1176; c = +7920;
Δ = b2-4ac
Δ = 11762-4·(-24)·7920
Δ = 2143296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2143296}=1464$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1176)-1464}{2*-24}=\frac{-2640}{-48}
=+55
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1176)+1464}{2*-24}=\frac{288}{-48}
=-6
$