6x^2+14x-150=0

Solution for 6x^2+14x-150=0 equation:

6x^2+14x-150=0

a = 6; b = 14; c = -150;
Δ = b2-4ac
Δ = 142-4·6·(-150)
Δ = 3796
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:

$\sqrt{\Delta}=\sqrt{3796}=\sqrt{4*949}=\sqrt{4}*\sqrt{949}=2\sqrt{949}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{949}}{2*6}=\frac{-14-2\sqrt{949}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{949}}{2*6}=\frac{-14+2\sqrt{949}}{12}
$