4x^2-110=-2x

Solution for 4x^2-110=-2x equation:

4x^2-110=-2x

We move all terms to the left:

4x^2-110-(-2x)=0

We get rid of parentheses

4x^2+2x-110=0

a = 4; b = 2; c = -110;
Δ = b2-4ac
Δ = 22-4·4·(-110)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-42}{2*4}=\frac{-44}{8}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+42}{2*4}=\frac{40}{8}
=5
$