16x^2-44x-56=0

Solution for 16x^2-44x-56=0 equation:

16x^2-44x-56=0

a = 16; b = -44; c = -56;
Δ = b2-4ac
Δ = -442-4·16·(-56)
Δ = 5520
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:

$\sqrt{\Delta}=\sqrt{5520}=\sqrt{16*345}=\sqrt{16}*\sqrt{345}=4\sqrt{345}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4\sqrt{345}}{2*16}=\frac{44-4\sqrt{345}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4\sqrt{345}}{2*16}=\frac{44+4\sqrt{345}}{32}
$