3x^2-117x-378=0

Solution for 3x^2-117x-378=0 equation:

3x^2-117x-378=0

a = 3; b = -117; c = -378;
Δ = b2-4ac
Δ = -1172-4·3·(-378)
Δ = 18225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18225}=135$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-117)-135}{2*3}=\frac{-18}{6}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-117)+135}{2*3}=\frac{252}{6}
=42
$