3x^2-24x-5760=0

Solution for 3x^2-24x-5760=0 equation:

3x^2-24x-5760=0

a = 3; b = -24; c = -5760;
Δ = b2-4ac
Δ = -242-4·3·(-5760)
Δ = 69696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69696}=264$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-264}{2*3}=\frac{-240}{6}
=-40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+264}{2*3}=\frac{288}{6}
=48
$