F(x)=x^2+8x+6

Solution for F(x)=x^2+8x+6 equation:

(F)=F^2+8F+6

We move all terms to the left:

(F)-(F^2+8F+6)=0

We get rid of parentheses

-F^2+F-8F-6=0

We add all the numbers together, and all the variables

-1F^2-7F-6=0

a = -1; b = -7; c = -6;
Δ = b2-4ac
Δ = -72-4·(-1)·(-6)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-5}{2*-1}=\frac{2}{-2}
=-1
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+5}{2*-1}=\frac{12}{-2}
=-6
$