-200+1300x+1500x^2=0

Solution for -200+1300x+1500x^2=0 equation:

-200+1300x+1500x^2=0

a = 1500; b = 1300; c = -200;
Δ = b2-4ac
Δ = 13002-4·1500·(-200)
Δ = 2890000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2890000}=1700$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1300)-1700}{2*1500}=\frac{-3000}{3000}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1300)+1700}{2*1500}=\frac{400}{3000}
=2/15
$