-2h^2-56h-66=0

Solution for -2h^2-56h-66=0 equation:

-2h^2-56h-66=0

a = -2; b = -56; c = -66;
Δ = b2-4ac
Δ = -562-4·(-2)·(-66)
Δ = 2608
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2608}=\sqrt{16*163}=\sqrt{16}*\sqrt{163}=4\sqrt{163}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-4\sqrt{163}}{2*-2}=\frac{56-4\sqrt{163}}{-4}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+4\sqrt{163}}{2*-2}=\frac{56+4\sqrt{163}}{-4}
$