-16x^2-24x+112=0

Solution for -16x^2-24x+112=0 equation:

-16x^2-24x+112=0

a = -16; b = -24; c = +112;
Δ = b2-4ac
Δ = -242-4·(-16)·112
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*-16}=\frac{-64}{-32}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+88}{2*-16}=\frac{112}{-32}
=-3+1/2
$