-2x^2-17x-16=5

Solution for -2x^2-17x-16=5 equation:

-2x^2-17x-16=5

We move all terms to the left:

-2x^2-17x-16-(5)=0

We add all the numbers together, and all the variables

-2x^2-17x-21=0

a = -2; b = -17; c = -21;
Δ = b2-4ac
Δ = -172-4·(-2)·(-21)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-11}{2*-2}=\frac{6}{-4}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+11}{2*-2}=\frac{28}{-4}
=-7
$