6x^2-67x-60=0

Solution for 6x^2-67x-60=0 equation:

6x^2-67x-60=0

a = 6; b = -67; c = -60;
Δ = b2-4ac
Δ = -672-4·6·(-60)
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-67)-77}{2*6}=\frac{-10}{12}
=-5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-67)+77}{2*6}=\frac{144}{12}
=12
$