12110=x^2-10x+35

Solution for 12110=x^2-10x+35 equation:

12110=x^2-10x+35

We move all terms to the left:

12110-(x^2-10x+35)=0

We get rid of parentheses

-x^2+10x-35+12110=0

We add all the numbers together, and all the variables

-1x^2+10x+12075=0

a = -1; b = 10; c = +12075;
Δ = b2-4ac
Δ = 102-4·(-1)·12075
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-220}{2*-1}=\frac{-230}{-2}
=+115
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+220}{2*-1}=\frac{210}{-2}
=-105
$