x^2+22x+x=0

Solution for x^2+22x+x=0 equation:

x^2+22x+x=0

We add all the numbers together, and all the variables

x^2+23x=0

a = 1; b = 23; c = 0;
Δ = b2-4ac
Δ = 232-4·1·0
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-23}{2*1}=\frac{-46}{2}
=-23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+23}{2*1}=\frac{0}{2}
=0
$