-3x2-48x-117=0

Solution for -3x2-48x-117=0 equation:

-3x^2-48x-117=0

a = -3; b = -48; c = -117;
Δ = b2-4ac
Δ = -482-4·(-3)·(-117)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-30}{2*-3}=\frac{18}{-6}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+30}{2*-3}=\frac{78}{-6}
=-13
$