-3x^2-8x+1091=360

Solution for -3x^2-8x+1091=360 equation:

-3x^2-8x+1091=360

We move all terms to the left:

-3x^2-8x+1091-(360)=0

We add all the numbers together, and all the variables

-3x^2-8x+731=0

a = -3; b = -8; c = +731;
Δ = b2-4ac
Δ = -82-4·(-3)·731
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-94}{2*-3}=\frac{-86}{-6}
=14+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+94}{2*-3}=\frac{102}{-6}
=-17
$