0=x^2-10x-96

Solution for 0=x^2-10x-96 equation:

0=x^2-10x-96

We move all terms to the left:

0-(x^2-10x-96)=0

We add all the numbers together, and all the variables

-(x^2-10x-96)=0

We get rid of parentheses

-x^2+10x+96=0

We add all the numbers together, and all the variables

-1x^2+10x+96=0

a = -1; b = 10; c = +96;
Δ = b2-4ac
Δ = 102-4·(-1)·96
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-22}{2*-1}=\frac{-32}{-2}
=+16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+22}{2*-1}=\frac{12}{-2}
=-6
$