(c+8)(c+6)=3

Solution for (c+8)(c+6)=3 equation:

(c+8)(c+6)=3

We move all terms to the left:

(c+8)(c+6)-(3)=0

We multiply parentheses ..

(+c^2+6c+8c+48)-3=0

We get rid of parentheses

c^2+6c+8c+48-3=0

We add all the numbers together, and all the variables

c^2+14c+45=0

a = 1; b = 14; c = +45;
Δ = b2-4ac
Δ = 142-4·1·45
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-4}{2*1}=\frac{-18}{2}
=-9
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+4}{2*1}=\frac{-10}{2}
=-5
$