15k=24k^2

Solution for 15k=24k^2 equation:

15k=24k^2

We move all terms to the left:

15k-(24k^2)=0

determiningTheFunctionDomain
-24k^2+15k=0

a = -24; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-24)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-24}=\frac{-30}{-48}
=5/8
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-24}=\frac{0}{-48}
=0
$