1600x-3x^2=0

Solution for 1600x-3x^2=0 equation:

1600x-3x^2=0

a = -3; b = 1600; c = 0;
Δ = b2-4ac
Δ = 16002-4·(-3)·0
Δ = 2560000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2560000}=1600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1600)-1600}{2*-3}=\frac{-3200}{-6}
=533+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1600)+1600}{2*-3}=\frac{0}{-6}
=0
$