110=x^2+5x+6

Solution for 110=x^2+5x+6 equation:

110=x^2+5x+6

We move all terms to the left:

110-(x^2+5x+6)=0

We get rid of parentheses

-x^2-5x-6+110=0

We add all the numbers together, and all the variables

-1x^2-5x+104=0

a = -1; b = -5; c = +104;
Δ = b2-4ac
Δ = -52-4·(-1)·104
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-21}{2*-1}=\frac{-16}{-2}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+21}{2*-1}=\frac{26}{-2}
=-13
$