1080=(x+30)(x+24)

Solution for 1080=(x+30)(x+24) equation:

1080=(x+30)(x+24)

We move all terms to the left:

1080-((x+30)(x+24))=0

We multiply parentheses ..

-((+x^2+24x+30x+720))+1080=0


We calculate terms in parentheses: -((+x^2+24x+30x+720)), so:

(+x^2+24x+30x+720)

We get rid of parentheses

x^2+24x+30x+720

We add all the numbers together, and all the variables

x^2+54x+720

Back to the equation:

-(x^2+54x+720)


We get rid of parentheses

-x^2-54x-720+1080=0

We add all the numbers together, and all the variables

-1x^2-54x+360=0

a = -1; b = -54; c = +360;
Δ = b2-4ac
Δ = -542-4·(-1)·360
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-66}{2*-1}=\frac{-12}{-2}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+66}{2*-1}=\frac{120}{-2}
=-60
$