F(x)=-x2-28x-192

Solution for F(x)=-x2-28x-192 equation:

(F)=-F2-28F-192

We move all terms to the left:

(F)-(-F2-28F-192)=0

We add all the numbers together, and all the variables

-(-1F^2-28F-192)+F=0

We get rid of parentheses

1F^2+28F+F+192=0

We add all the numbers together, and all the variables

F^2+29F+192=0

a = 1; b = 29; c = +192;
Δ = b2-4ac
Δ = 292-4·1·192
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-\sqrt{73}}{2*1}=\frac{-29-\sqrt{73}}{2}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+\sqrt{73}}{2*1}=\frac{-29+\sqrt{73}}{2}
$