1500X-x^2=0

Solution for 1500X-x^2=0 equation:

1500X-X^2=0

We add all the numbers together, and all the variables

-1X^2+1500X=0

a = -1; b = 1500; c = 0;
Δ = b2-4ac
Δ = 15002-4·(-1)·0
Δ = 2250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2250000}=1500$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1500)-1500}{2*-1}=\frac{-3000}{-2}
=+1500
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1500)+1500}{2*-1}=\frac{0}{-2}
=0
$