43350x^2-515550x-408900=0

Solution for 43350x^2-515550x-408900=0 equation:

43350x^2-515550x-408900=0

a = 43350; b = -515550; c = -408900;
Δ = b2-4ac
Δ = -5155502-4·43350·(-408900)
Δ = 336695062500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{336695062500}=\sqrt{562500*598569}=\sqrt{562500}*\sqrt{598569}=750\sqrt{598569}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-515550)-750\sqrt{598569}}{2*43350}=\frac{515550-750\sqrt{598569}}{86700}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-515550)+750\sqrt{598569}}{2*43350}=\frac{515550+750\sqrt{598569}}{86700}
$