x^2+x=57600

Solution for x^2+x=57600 equation:

x^2+x=57600

We move all terms to the left:

x^2+x-(57600)=0

a = 1; b = 1; c = -57600;
Δ = b2-4ac
Δ = 12-4·1·(-57600)
Δ = 230401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{230401}}{2*1}=\frac{-1-\sqrt{230401}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{230401}}{2*1}=\frac{-1+\sqrt{230401}}{2}
$