x^2+9x=322

Solution for x^2+9x=322 equation:

x^2+9x=322

We move all terms to the left:

x^2+9x-(322)=0

a = 1; b = 9; c = -322;
Δ = b2-4ac
Δ = 92-4·1·(-322)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-37}{2*1}=\frac{-46}{2}
=-23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+37}{2*1}=\frac{28}{2}
=14
$