0=8x2+12x-1248

Solution for 0=8x2+12x-1248 equation:

0=8x^2+12x-1248

We move all terms to the left:

0-(8x^2+12x-1248)=0

We add all the numbers together, and all the variables

-(8x^2+12x-1248)=0

We get rid of parentheses

-8x^2-12x+1248=0

a = -8; b = -12; c = +1248;
Δ = b2-4ac
Δ = -122-4·(-8)·1248
Δ = 40080
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{40080}=\sqrt{16*2505}=\sqrt{16}*\sqrt{2505}=4\sqrt{2505}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4\sqrt{2505}}{2*-8}=\frac{12-4\sqrt{2505}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4\sqrt{2505}}{2*-8}=\frac{12+4\sqrt{2505}}{-16}
$