6x^2+8x-2375=0

Solution for 6x^2+8x-2375=0 equation:

6x^2+8x-2375=0

a = 6; b = 8; c = -2375;
Δ = b2-4ac
Δ = 82-4·6·(-2375)
Δ = 57064
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:

$\sqrt{\Delta}=\sqrt{57064}=\sqrt{4*14266}=\sqrt{4}*\sqrt{14266}=2\sqrt{14266}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{14266}}{2*6}=\frac{-8-2\sqrt{14266}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{14266}}{2*6}=\frac{-8+2\sqrt{14266}}{12}
$