30k-36=4k^2

Solution for 30k-36=4k^2 equation:

30k-36=4k^2

We move all terms to the left:

30k-36-(4k^2)=0

determiningTheFunctionDomain
-4k^2+30k-36=0

a = -4; b = 30; c = -36;
Δ = b2-4ac
Δ = 302-4·(-4)·(-36)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-18}{2*-4}=\frac{-48}{-8}
=+6
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+18}{2*-4}=\frac{-12}{-8}
=1+1/2
$