6000x^2+4800x-38400=0

Solution for 6000x^2+4800x-38400=0 equation:

6000x^2+4800x-38400=0

a = 6000; b = 4800; c = -38400;
Δ = b2-4ac
Δ = 48002-4·6000·(-38400)
Δ = 944640000
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:

$\sqrt{\Delta}=\sqrt{944640000}=\sqrt{23040000*41}=\sqrt{23040000}*\sqrt{41}=4800\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4800)-4800\sqrt{41}}{2*6000}=\frac{-4800-4800\sqrt{41}}{12000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4800)+4800\sqrt{41}}{2*6000}=\frac{-4800+4800\sqrt{41}}{12000}
$