-3x^2-150x+20000=0

Solution for -3x^2-150x+20000=0 equation:

-3x^2-150x+20000=0

a = -3; b = -150; c = +20000;
Δ = b2-4ac
Δ = -1502-4·(-3)·20000
Δ = 262500
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:

$\sqrt{\Delta}=\sqrt{262500}=\sqrt{2500*105}=\sqrt{2500}*\sqrt{105}=50\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-50\sqrt{105}}{2*-3}=\frac{150-50\sqrt{105}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+50\sqrt{105}}{2*-3}=\frac{150+50\sqrt{105}}{-6}
$