1500x-16x^2-30000=0

Solution for 1500x-16x^2-30000=0 equation:

1500x-16x^2-30000=0

a = -16; b = 1500; c = -30000;
Δ = b2-4ac
Δ = 15002-4·(-16)·(-30000)
Δ = 330000
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:

$\sqrt{\Delta}=\sqrt{330000}=\sqrt{10000*33}=\sqrt{10000}*\sqrt{33}=100\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1500)-100\sqrt{33}}{2*-16}=\frac{-1500-100\sqrt{33}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1500)+100\sqrt{33}}{2*-16}=\frac{-1500+100\sqrt{33}}{-32}
$