-8x^2-24x+224=0

Solution for -8x^2-24x+224=0 equation:

-8x^2-24x+224=0

a = -8; b = -24; c = +224;
Δ = b2-4ac
Δ = -242-4·(-8)·224
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-88}{2*-8}=\frac{-64}{-16}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+88}{2*-8}=\frac{112}{-16}
=-7
$