8k*15k=480

Solution for 8k*15k=480 equation:

8k*15k=480

We move all terms to the left:

8k*15k-(480)=0

Wy multiply elements

120k^2-480=0

a = 120; b = 0; c = -480;
Δ = b2-4ac
Δ = 02-4·120·(-480)
Δ = 230400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{230400}=480$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-480}{2*120}=\frac{-480}{240}
=-2
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+480}{2*120}=\frac{480}{240}
=2
$