110=3x^2-2x

Solution for 110=3x^2-2x equation:

110=3x^2-2x

We move all terms to the left:

110-(3x^2-2x)=0

We get rid of parentheses

-3x^2+2x+110=0

a = -3; b = 2; c = +110;
Δ = b2-4ac
Δ = 22-4·(-3)·110
Δ = 1324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1324}=\sqrt{4*331}=\sqrt{4}*\sqrt{331}=2\sqrt{331}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{331}}{2*-3}=\frac{-2-2\sqrt{331}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{331}}{2*-3}=\frac{-2+2\sqrt{331}}{-6}
$