0=2x^2+14x-1080

Solution for 0=2x^2+14x-1080 equation:

0=2x^2+14x-1080

We move all terms to the left:

0-(2x^2+14x-1080)=0

We add all the numbers together, and all the variables

-(2x^2+14x-1080)=0

We get rid of parentheses

-2x^2-14x+1080=0

a = -2; b = -14; c = +1080;
Δ = b2-4ac
Δ = -142-4·(-2)·1080
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-94}{2*-2}=\frac{-80}{-4}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+94}{2*-2}=\frac{108}{-4}
=-27
$