8x^2+70x+110=-2x^2-50x

Solution for 8x^2+70x+110=-2x^2-50x equation:

8x^2+70x+110=-2x^2-50x

We move all terms to the left:

8x^2+70x+110-(-2x^2-50x)=0

We get rid of parentheses

8x^2+2x^2+50x+70x+110=0

We add all the numbers together, and all the variables

10x^2+120x+110=0

a = 10; b = 120; c = +110;
Δ = b2-4ac
Δ = 1202-4·10·110
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-100}{2*10}=\frac{-220}{20}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+100}{2*10}=\frac{-20}{20}
=-1
$