301x+x^2-9930=0

Solution for 301x+x^2-9930=0 equation:

301x+x^2-9930=0

a = 1; b = 301; c = -9930;
Δ = b2-4ac
Δ = 3012-4·1·(-9930)
Δ = 130321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{130321}=361$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(301)-361}{2*1}=\frac{-662}{2}
=-331
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(301)+361}{2*1}=\frac{60}{2}
=30
$