3x^2-105x-360=0

Solution for 3x^2-105x-360=0 equation:

3x^2-105x-360=0

a = 3; b = -105; c = -360;
Δ = b2-4ac
Δ = -1052-4·3·(-360)
Δ = 15345
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:

$\sqrt{\Delta}=\sqrt{15345}=\sqrt{9*1705}=\sqrt{9}*\sqrt{1705}=3\sqrt{1705}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-3\sqrt{1705}}{2*3}=\frac{105-3\sqrt{1705}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+3\sqrt{1705}}{2*3}=\frac{105+3\sqrt{1705}}{6}
$