-4k(k-6)=-4

Solution for -4k(k-6)=-4 equation:

-4k(k-6)=-4

We move all terms to the left:

-4k(k-6)-(-4)=0

We add all the numbers together, and all the variables

-4k(k-6)+4=0

We multiply parentheses

-4k^2+24k+4=0

a = -4; b = 24; c = +4;
Δ = b2-4ac
Δ = 242-4·(-4)·4
Δ = 640
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:

$\sqrt{\Delta}=\sqrt{640}=\sqrt{64*10}=\sqrt{64}*\sqrt{10}=8\sqrt{10}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-8\sqrt{10}}{2*-4}=\frac{-24-8\sqrt{10}}{-8}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+8\sqrt{10}}{2*-4}=\frac{-24+8\sqrt{10}}{-8}
$