6x^2+150x-5000=0

Solution for 6x^2+150x-5000=0 equation:

6x^2+150x-5000=0

a = 6; b = 150; c = -5000;
Δ = b2-4ac
Δ = 1502-4·6·(-5000)
Δ = 142500
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:

$\sqrt{\Delta}=\sqrt{142500}=\sqrt{2500*57}=\sqrt{2500}*\sqrt{57}=50\sqrt{57}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(150)-50\sqrt{57}}{2*6}=\frac{-150-50\sqrt{57}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(150)+50\sqrt{57}}{2*6}=\frac{-150+50\sqrt{57}}{12}
$