6x^2-72x-2958=0

Solution for 6x^2-72x-2958=0 equation:

6x^2-72x-2958=0

a = 6; b = -72; c = -2958;
Δ = b2-4ac
Δ = -722-4·6·(-2958)
Δ = 76176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{76176}=276$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-276}{2*6}=\frac{-204}{12}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+276}{2*6}=\frac{348}{12}
=29
$