(x-110)(x-119)=295

Solution for (x-110)(x-119)=295 equation:

(x-110)(x-119)=295

We move all terms to the left:

(x-110)(x-119)-(295)=0

We multiply parentheses ..

(+x^2-119x-110x+13090)-295=0

We get rid of parentheses

x^2-119x-110x+13090-295=0

We add all the numbers together, and all the variables

x^2-229x+12795=0

a = 1; b = -229; c = +12795;
Δ = b2-4ac
Δ = -2292-4·1·12795
Δ = 1261
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-229)-\sqrt{1261}}{2*1}=\frac{229-\sqrt{1261}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-229)+\sqrt{1261}}{2*1}=\frac{229+\sqrt{1261}}{2}
$