-54=-96k^2

Solution for -54=-96k^2 equation:

-54=-96k^2

We move all terms to the left:

-54-(-96k^2)=0

We get rid of parentheses

96k^2-54=0

a = 96; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·96·(-54)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*96}=\frac{-144}{192}
=-3/4
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*96}=\frac{144}{192}
=3/4
$