-15x^2+112x+2000=0

Solution for -15x^2+112x+2000=0 equation:

-15x^2+112x+2000=0

a = -15; b = 112; c = +2000;
Δ = b2-4ac
Δ = 1122-4·(-15)·2000
Δ = 132544
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:

$\sqrt{\Delta}=\sqrt{132544}=\sqrt{64*2071}=\sqrt{64}*\sqrt{2071}=8\sqrt{2071}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(112)-8\sqrt{2071}}{2*-15}=\frac{-112-8\sqrt{2071}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(112)+8\sqrt{2071}}{2*-15}=\frac{-112+8\sqrt{2071}}{-30}
$