2x*x+x=210

Solution for 2x*x+x=210 equation:

2x*x+x=210

We move all terms to the left:

2x*x+x-(210)=0

We add all the numbers together, and all the variables

x+2x*x-210=0

Wy multiply elements

2x^2+x-210=0

a = 2; b = 1; c = -210;
Δ = b2-4ac
Δ = 12-4·2·(-210)
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-41}{2*2}=\frac{-42}{4}
=-10+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+41}{2*2}=\frac{40}{4}
=10
$