6k2-66k-9=79

Solution for 6k2-66k-9=79 equation:

6k^2-66k-9=79

We move all terms to the left:

6k^2-66k-9-(79)=0

We add all the numbers together, and all the variables

6k^2-66k-88=0

a = 6; b = -66; c = -88;
Δ = b2-4ac
Δ = -662-4·6·(-88)
Δ = 6468
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6468}=\sqrt{196*33}=\sqrt{196}*\sqrt{33}=14\sqrt{33}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-14\sqrt{33}}{2*6}=\frac{66-14\sqrt{33}}{12}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+14\sqrt{33}}{2*6}=\frac{66+14\sqrt{33}}{12}
$