-4k^2+2k=-60

Solution for -4k^2+2k=-60 equation:

-4k^2+2k=-60

We move all terms to the left:

-4k^2+2k-(-60)=0

We add all the numbers together, and all the variables

-4k^2+2k+60=0

a = -4; b = 2; c = +60;
Δ = b2-4ac
Δ = 22-4·(-4)·60
Δ = 964
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:

$\sqrt{\Delta}=\sqrt{964}=\sqrt{4*241}=\sqrt{4}*\sqrt{241}=2\sqrt{241}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{241}}{2*-4}=\frac{-2-2\sqrt{241}}{-8}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{241}}{2*-4}=\frac{-2+2\sqrt{241}}{-8}
$