-x^2-100x-196=0

Solution for -x^2-100x-196=0 equation:

-x^2-100x-196=0

We add all the numbers together, and all the variables

-1x^2-100x-196=0

a = -1; b = -100; c = -196;
Δ = b2-4ac
Δ = -1002-4·(-1)·(-196)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-96}{2*-1}=\frac{4}{-2}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+96}{2*-1}=\frac{196}{-2}
=-98
$