12k^2+82k=-60

Solution for 12k^2+82k=-60 equation:

12k^2+82k=-60

We move all terms to the left:

12k^2+82k-(-60)=0

We add all the numbers together, and all the variables

12k^2+82k+60=0

a = 12; b = 82; c = +60;
Δ = b2-4ac
Δ = 822-4·12·60
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(82)-62}{2*12}=\frac{-144}{24}
=-6
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(82)+62}{2*12}=\frac{-20}{24}
=-5/6
$