3x^2-44x-168=0

Solution for 3x^2-44x-168=0 equation:

3x^2-44x-168=0

a = 3; b = -44; c = -168;
Δ = b2-4ac
Δ = -442-4·3·(-168)
Δ = 3952
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:

$\sqrt{\Delta}=\sqrt{3952}=\sqrt{16*247}=\sqrt{16}*\sqrt{247}=4\sqrt{247}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4\sqrt{247}}{2*3}=\frac{44-4\sqrt{247}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4\sqrt{247}}{2*3}=\frac{44+4\sqrt{247}}{6}
$