-16x^2+112=0

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

-16x^2+112=0

a = -16; b = 0; c = +112;
Δ = b2-4ac
Δ = 02-4·(-16)·112
Δ = 7168
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:

$\sqrt{\Delta}=\sqrt{7168}=\sqrt{1024*7}=\sqrt{1024}*\sqrt{7}=32\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{7}}{2*-16}=\frac{0-32\sqrt{7}}{-32}
=-\frac{32\sqrt{7}}{-32}
=-\frac{\sqrt{7}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{7}}{2*-16}=\frac{0+32\sqrt{7}}{-32}
=\frac{32\sqrt{7}}{-32}
=\frac{\sqrt{7}}{-1}
$