0=2x^2+8x-1144

Solution for 0=2x^2+8x-1144 equation:

0=2x^2+8x-1144

We move all terms to the left:

0-(2x^2+8x-1144)=0

We add all the numbers together, and all the variables

-(2x^2+8x-1144)=0

We get rid of parentheses

-2x^2-8x+1144=0

a = -2; b = -8; c = +1144;
Δ = b2-4ac
Δ = -82-4·(-2)·1144
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-96}{2*-2}=\frac{-88}{-4}
=+22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+96}{2*-2}=\frac{104}{-4}
=-26
$